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Finding the Fourth Proportional to 78,849.80, 118,080.30 and 52,411.40

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Solution

The fourth proportional to 78,849.80, 118,080.30 and 52,411.40 is: 78,487.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,849.80 : 118,080.30 = 52,411.40 : x
  2. Step 2: Convert to fraction form
    78,849.80/118,080.30 = 52,411.40/x
  3. Step 3: Cross multiply
    78,849.80x = 118,080.30 × 52,411.40
  4. Step 4: Simplify right side
    78,849.80x = 6,188,753,835.42
  5. Step 5: Solve for x
    x = 6,188,753,835.42/78,849.80
  6. Step 6: Final answer
    x = 78,487.88

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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.