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Finding the Fourth Proportional to 59,619.86, 82,251.84 and 38,411.50

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Solution

The fourth proportional to 59,619.86, 82,251.84 and 38,411.50 is: 52,992.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,619.86 : 82,251.84 = 38,411.50 : x
  2. Step 2: Convert to fraction form
    59,619.86/82,251.84 = 38,411.50/x
  3. Step 3: Cross multiply
    59,619.86x = 82,251.84 × 38,411.50
  4. Step 4: Simplify right side
    59,619.86x = 3,159,416,552.16
  5. Step 5: Solve for x
    x = 3,159,416,552.16/59,619.86
  6. Step 6: Final answer
    x = 52,992.69

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Why These Related Problems?

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