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Finding the Fourth Proportional to 78,952.34, 108,951.80 and 43,142.31

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Solution

The fourth proportional to 78,952.34, 108,951.80 and 43,142.31 is: 59,535.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,952.34 : 108,951.80 = 43,142.31 : x
  2. Step 2: Convert to fraction form
    78,952.34/108,951.80 = 43,142.31/x
  3. Step 3: Cross multiply
    78,952.34x = 108,951.80 × 43,142.31
  4. Step 4: Simplify right side
    78,952.34x = 4,700,432,114.95
  5. Step 5: Solve for x
    x = 4,700,432,114.95/78,952.34
  6. Step 6: Final answer
    x = 59,535.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.