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Finding the Fourth Proportional to 76,785.60, 115,114.40 and 32,446.40

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Solution

The fourth proportional to 76,785.60, 115,114.40 and 32,446.40 is: 48,642.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,785.60 : 115,114.40 = 32,446.40 : x
  2. Step 2: Convert to fraction form
    76,785.60/115,114.40 = 32,446.40/x
  3. Step 3: Cross multiply
    76,785.60x = 115,114.40 × 32,446.40
  4. Step 4: Simplify right side
    76,785.60x = 3,735,047,868.16
  5. Step 5: Solve for x
    x = 3,735,047,868.16/76,785.60
  6. Step 6: Final answer
    x = 48,642.56

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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.