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Finding the Fourth Proportional to 78,687.66, 118,031.35 and 24,656.48

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Solution

The fourth proportional to 78,687.66, 118,031.35 and 24,656.48 is: 36,984.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,687.66 : 118,031.35 = 24,656.48 : x
  2. Step 2: Convert to fraction form
    78,687.66/118,031.35 = 24,656.48/x
  3. Step 3: Cross multiply
    78,687.66x = 118,031.35 × 24,656.48
  4. Step 4: Simplify right side
    78,687.66x = 2,910,237,854.09
  5. Step 5: Solve for x
    x = 2,910,237,854.09/78,687.66
  6. Step 6: Final answer
    x = 36,984.68

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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.