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Finding the Fourth Proportional to 52,117.80, 78,209.46 and 29,974.38

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Solution

The fourth proportional to 52,117.80, 78,209.46 and 29,974.38 is: 44,980.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,117.80 : 78,209.46 = 29,974.38 : x
  2. Step 2: Convert to fraction form
    52,117.80/78,209.46 = 29,974.38/x
  3. Step 3: Cross multiply
    52,117.80x = 78,209.46 × 29,974.38
  4. Step 4: Simplify right side
    52,117.80x = 2,344,280,073.63
  5. Step 5: Solve for x
    x = 2,344,280,073.63/52,117.80
  6. Step 6: Final answer
    x = 44,980.41

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1.5x scale

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.