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Finding the Fourth Proportional to 71,764.31, 107,646.53 and 34,315.58

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Solution

The fourth proportional to 71,764.31, 107,646.53 and 34,315.58 is: 51,473.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,764.31 : 107,646.53 = 34,315.58 : x
  2. Step 2: Convert to fraction form
    71,764.31/107,646.53 = 34,315.58/x
  3. Step 3: Cross multiply
    71,764.31x = 107,646.53 × 34,315.58
  4. Step 4: Simplify right side
    71,764.31x = 3,693,952,402.13
  5. Step 5: Solve for x
    x = 3,693,952,402.13/71,764.31
  6. Step 6: Final answer
    x = 51,473.39

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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.