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Finding the Fourth Proportional to 52,148.48, 78,242.32 and 24,082

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Solution

The fourth proportional to 52,148.48, 78,242.32 and 24,082 is: 36,132.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,148.48 : 78,242.32 = 24,082 : x
  2. Step 2: Convert to fraction form
    52,148.48/78,242.32 = 24,082/x
  3. Step 3: Cross multiply
    52,148.48x = 78,242.32 × 24,082
  4. Step 4: Simplify right side
    52,148.48x = 1,884,231,550.24
  5. Step 5: Solve for x
    x = 1,884,231,550.24/52,148.48
  6. Step 6: Final answer
    x = 36,132.05

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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.