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Finding the Fourth Proportional to 90,119.60, 135,199.88 and 47,977.47

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Solution

The fourth proportional to 90,119.60, 135,199.88 and 47,977.47 is: 71,977.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,119.60 : 135,199.88 = 47,977.47 : x
  2. Step 2: Convert to fraction form
    90,119.60/135,199.88 = 47,977.47/x
  3. Step 3: Cross multiply
    90,119.60x = 135,199.88 × 47,977.47
  4. Step 4: Simplify right side
    90,119.60x = 6,486,548,306.65
  5. Step 5: Solve for x
    x = 6,486,548,306.65/90,119.60
  6. Step 6: Final answer
    x = 71,977.11

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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.