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Finding the Fourth Proportional to 38,451.31, 53,068.05 and 22,542.10

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Solution

The fourth proportional to 38,451.31, 53,068.05 and 22,542.10 is: 31,111.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,451.31 : 53,068.05 = 22,542.10 : x
  2. Step 2: Convert to fraction form
    38,451.31/53,068.05 = 22,542.10/x
  3. Step 3: Cross multiply
    38,451.31x = 53,068.05 × 22,542.10
  4. Step 4: Simplify right side
    38,451.31x = 1,196,265,289.91
  5. Step 5: Solve for x
    x = 1,196,265,289.91/38,451.31
  6. Step 6: Final answer
    x = 31,111.17

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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.