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Finding the Fourth Proportional to 71,952.72, 107,903.16 and 30,402.96

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Solution

The fourth proportional to 71,952.72, 107,903.16 and 30,402.96 is: 45,593.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,952.72 : 107,903.16 = 30,402.96 : x
  2. Step 2: Convert to fraction form
    71,952.72/107,903.16 = 30,402.96/x
  3. Step 3: Cross multiply
    71,952.72x = 107,903.16 × 30,402.96
  4. Step 4: Simplify right side
    71,952.72x = 3,280,575,457.35
  5. Step 5: Solve for x
    x = 3,280,575,457.35/71,952.72
  6. Step 6: Final answer
    x = 45,593.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.