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Finding the Fourth Proportional to 32,920.26, 49,385.54 and 10,728.48

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Solution

The fourth proportional to 32,920.26, 49,385.54 and 10,728.48 is: 16,094.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,920.26 : 49,385.54 = 10,728.48 : x
  2. Step 2: Convert to fraction form
    32,920.26/49,385.54 = 10,728.48/x
  3. Step 3: Cross multiply
    32,920.26x = 49,385.54 × 10,728.48
  4. Step 4: Simplify right side
    32,920.26x = 529,831,778.18
  5. Step 5: Solve for x
    x = 529,831,778.18/32,920.26
  6. Step 6: Final answer
    x = 16,094.40

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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.