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Finding the Fourth Proportional to 52,533.31, 78,755.17 and 22,929.01

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Solution

The fourth proportional to 52,533.31, 78,755.17 and 22,929.01 is: 34,373.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,533.31 : 78,755.17 = 22,929.01 : x
  2. Step 2: Convert to fraction form
    52,533.31/78,755.17 = 22,929.01/x
  3. Step 3: Cross multiply
    52,533.31x = 78,755.17 × 22,929.01
  4. Step 4: Simplify right side
    52,533.31x = 1,805,778,080.48
  5. Step 5: Solve for x
    x = 1,805,778,080.48/52,533.31
  6. Step 6: Final answer
    x = 34,373.96

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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.