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Finding the Fourth Proportional to 47,875.46, 71,613.14 and 33,642.90

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Solution

The fourth proportional to 47,875.46, 71,613.14 and 33,642.90 is: 50,323.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,875.46 : 71,613.14 = 33,642.90 : x
  2. Step 2: Convert to fraction form
    47,875.46/71,613.14 = 33,642.90/x
  3. Step 3: Cross multiply
    47,875.46x = 71,613.14 × 33,642.90
  4. Step 4: Simplify right side
    47,875.46x = 2,409,273,539.49
  5. Step 5: Solve for x
    x = 2,409,273,539.49/47,875.46
  6. Step 6: Final answer
    x = 50,323.77

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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.