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Finding the Fourth Proportional to 71,866.48, 107,773.76 and 30,316.72

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Solution

The fourth proportional to 71,866.48, 107,773.76 and 30,316.72 is: 45,464.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,866.48 : 107,773.76 = 30,316.72 : x
  2. Step 2: Convert to fraction form
    71,866.48/107,773.76 = 30,316.72/x
  3. Step 3: Cross multiply
    71,866.48x = 107,773.76 × 30,316.72
  4. Step 4: Simplify right side
    71,866.48x = 3,267,346,905.27
  5. Step 5: Solve for x
    x = 3,267,346,905.27/71,866.48
  6. Step 6: Final answer
    x = 45,464.13

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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.