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Finding the Fourth Proportional to 59,668.64, 89,399.28 and 31,916.96

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Solution

The fourth proportional to 59,668.64, 89,399.28 and 31,916.96 is: 47,819.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,668.64 : 89,399.28 = 31,916.96 : x
  2. Step 2: Convert to fraction form
    59,668.64/89,399.28 = 31,916.96/x
  3. Step 3: Cross multiply
    59,668.64x = 89,399.28 × 31,916.96
  4. Step 4: Simplify right side
    59,668.64x = 2,853,353,243.79
  5. Step 5: Solve for x
    x = 2,853,353,243.79/59,668.64
  6. Step 6: Final answer
    x = 47,819.98

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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.