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Finding the Fourth Proportional to 87,382.86, 120,602.16 and 53,411.07

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Solution

The fourth proportional to 87,382.86, 120,602.16 and 53,411.07 is: 73,715.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,382.86 : 120,602.16 = 53,411.07 : x
  2. Step 2: Convert to fraction form
    87,382.86/120,602.16 = 53,411.07/x
  3. Step 3: Cross multiply
    87,382.86x = 120,602.16 × 53,411.07
  4. Step 4: Simplify right side
    87,382.86x = 6,441,490,409.91
  5. Step 5: Solve for x
    x = 6,441,490,409.91/87,382.86
  6. Step 6: Final answer
    x = 73,715.72

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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.