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Finding the Fourth Proportional to 50,475.60, 75,713.40 and 24,166.80

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Solution

The fourth proportional to 50,475.60, 75,713.40 and 24,166.80 is: 36,250.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,475.60 : 75,713.40 = 24,166.80 : x
  2. Step 2: Convert to fraction form
    50,475.60/75,713.40 = 24,166.80/x
  3. Step 3: Cross multiply
    50,475.60x = 75,713.40 × 24,166.80
  4. Step 4: Simplify right side
    50,475.60x = 1,829,750,595.12
  5. Step 5: Solve for x
    x = 1,829,750,595.12/50,475.60
  6. Step 6: Final answer
    x = 36,250.20

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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.