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Finding the Fourth Proportional to 59,353.86, 89,066.62 and 31,294.66

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Solution

The fourth proportional to 59,353.86, 89,066.62 and 31,294.66 is: 46,960.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,353.86 : 89,066.62 = 31,294.66 : x
  2. Step 2: Convert to fraction form
    59,353.86/89,066.62 = 31,294.66/x
  3. Step 3: Cross multiply
    59,353.86x = 89,066.62 × 31,294.66
  4. Step 4: Simplify right side
    59,353.86x = 2,787,309,590.25
  5. Step 5: Solve for x
    x = 2,787,309,590.25/59,353.86
  6. Step 6: Final answer
    x = 46,960.88

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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.