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Finding the Fourth Proportional to 77,742, 116,613.27 and 21,586.50

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Solution

The fourth proportional to 77,742, 116,613.27 and 21,586.50 is: 32,379.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,742 : 116,613.27 = 21,586.50 : x
  2. Step 2: Convert to fraction form
    77,742/116,613.27 = 21,586.50/x
  3. Step 3: Cross multiply
    77,742x = 116,613.27 × 21,586.50
  4. Step 4: Simplify right side
    77,742x = 2,517,272,352.86
  5. Step 5: Solve for x
    x = 2,517,272,352.86/77,742
  6. Step 6: Final answer
    x = 32,379.82

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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.