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Finding the Fourth Proportional to 90,764.07, 135,854.10 and 48,538.50

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Solution

The fourth proportional to 90,764.07, 135,854.10 and 48,538.50 is: 72,651.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,764.07 : 135,854.10 = 48,538.50 : x
  2. Step 2: Convert to fraction form
    90,764.07/135,854.10 = 48,538.50/x
  3. Step 3: Cross multiply
    90,764.07x = 135,854.10 × 48,538.50
  4. Step 4: Simplify right side
    90,764.07x = 6,594,154,232.85
  5. Step 5: Solve for x
    x = 6,594,154,232.85/90,764.07
  6. Step 6: Final answer
    x = 72,651.59

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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.