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Finding the Fourth Proportional to 32,831,862.40, 49,247,793.60 and 10,109,807.20

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Solution

The fourth proportional to 32,831,862.40, 49,247,793.60 and 10,109,807.20 is: 15,164,710.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,831,862.40 : 49,247,793.60 = 10,109,807.20 : x
  2. Step 2: Convert to fraction form
    32,831,862.40/49,247,793.60 = 10,109,807.20/x
  3. Step 3: Cross multiply
    32,831,862.40x = 49,247,793.60 × 10,109,807.20
  4. Step 4: Simplify right side
    32,831,862.40x = 497,885,698,321,393.88
  5. Step 5: Solve for x
    x = 497,885,698,321,393.88/32,831,862.40
  6. Step 6: Final answer
    x = 15,164,710.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.