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Finding the Fourth Proportional to 77,117.55, 115,684.53 and 24,514.74

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Solution

The fourth proportional to 77,117.55, 115,684.53 and 24,514.74 is: 36,774.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,117.55 : 115,684.53 = 24,514.74 : x
  2. Step 2: Convert to fraction form
    77,117.55/115,684.53 = 24,514.74/x
  3. Step 3: Cross multiply
    77,117.55x = 115,684.53 × 24,514.74
  4. Step 4: Simplify right side
    77,117.55x = 2,835,976,174.97
  5. Step 5: Solve for x
    x = 2,835,976,174.97/77,117.55
  6. Step 6: Final answer
    x = 36,774.72

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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.