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Finding the Fourth Proportional to 49,281, 68,007.96 and 26,925

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Solution

The fourth proportional to 49,281, 68,007.96 and 26,925 is: 37,156.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,281 : 68,007.96 = 26,925 : x
  2. Step 2: Convert to fraction form
    49,281/68,007.96 = 26,925/x
  3. Step 3: Cross multiply
    49,281x = 68,007.96 × 26,925
  4. Step 4: Simplify right side
    49,281x = 1,831,114,323.00
  5. Step 5: Solve for x
    x = 1,831,114,323.00/49,281
  6. Step 6: Final answer
    x = 37,156.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.