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Finding the Fourth Proportional to 59,578.80, 89,337.64 and 31,514

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Solution

The fourth proportional to 59,578.80, 89,337.64 and 31,514 is: 47,254.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,578.80 : 89,337.64 = 31,514 : x
  2. Step 2: Convert to fraction form
    59,578.80/89,337.64 = 31,514/x
  3. Step 3: Cross multiply
    59,578.80x = 89,337.64 × 31,514
  4. Step 4: Simplify right side
    59,578.80x = 2,815,386,386.96
  5. Step 5: Solve for x
    x = 2,815,386,386.96/59,578.80
  6. Step 6: Final answer
    x = 47,254.84

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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.