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Finding the Fourth Proportional to 86,416.27, 119,217.32 and 52,411.76

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Solution

The fourth proportional to 86,416.27, 119,217.32 and 52,411.76 is: 72,305.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,416.27 : 119,217.32 = 52,411.76 : x
  2. Step 2: Convert to fraction form
    86,416.27/119,217.32 = 52,411.76/x
  3. Step 3: Cross multiply
    86,416.27x = 119,217.32 × 52,411.76
  4. Step 4: Simplify right side
    86,416.27x = 6,248,389,349.15
  5. Step 5: Solve for x
    x = 6,248,389,349.15/86,416.27
  6. Step 6: Final answer
    x = 72,305.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.