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Finding the Fourth Proportional to 59,789.83, 89,689.91 and 15,416.20

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Solution

The fourth proportional to 59,789.83, 89,689.91 and 15,416.20 is: 23,125.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,789.83 : 89,689.91 = 15,416.20 : x
  2. Step 2: Convert to fraction form
    59,789.83/89,689.91 = 15,416.20/x
  3. Step 3: Cross multiply
    59,789.83x = 89,689.91 × 15,416.20
  4. Step 4: Simplify right side
    59,789.83x = 1,382,677,590.54
  5. Step 5: Solve for x
    x = 1,382,677,590.54/59,789.83
  6. Step 6: Final answer
    x = 23,125.63

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Why These Related Problems?

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