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Finding the Fourth Proportional to 57,314.60, 85,870.26 and 48,909.32

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Solution

The fourth proportional to 57,314.60, 85,870.26 and 48,909.32 is: 73,277.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,314.60 : 85,870.26 = 48,909.32 : x
  2. Step 2: Convert to fraction form
    57,314.60/85,870.26 = 48,909.32/x
  3. Step 3: Cross multiply
    57,314.60x = 85,870.26 × 48,909.32
  4. Step 4: Simplify right side
    57,314.60x = 4,199,856,024.82
  5. Step 5: Solve for x
    x = 4,199,856,024.82/57,314.60
  6. Step 6: Final answer
    x = 73,277.25

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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.