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Finding the Fourth Proportional to 50,142.80, 75,215.57 and 14,602.70

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Solution

The fourth proportional to 50,142.80, 75,215.57 and 14,602.70 is: 21,904.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,142.80 : 75,215.57 = 14,602.70 : x
  2. Step 2: Convert to fraction form
    50,142.80/75,215.57 = 14,602.70/x
  3. Step 3: Cross multiply
    50,142.80x = 75,215.57 × 14,602.70
  4. Step 4: Simplify right side
    50,142.80x = 1,098,350,404.04
  5. Step 5: Solve for x
    x = 1,098,350,404.04/50,142.80
  6. Step 6: Final answer
    x = 21,904.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.