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Finding the Fourth Proportional to 76,797.60, 115,132.40 and 32,458.40

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Solution

The fourth proportional to 76,797.60, 115,132.40 and 32,458.40 is: 48,660.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,797.60 : 115,132.40 = 32,458.40 : x
  2. Step 2: Convert to fraction form
    76,797.60/115,132.40 = 32,458.40/x
  3. Step 3: Cross multiply
    76,797.60x = 115,132.40 × 32,458.40
  4. Step 4: Simplify right side
    76,797.60x = 3,737,013,492.16
  5. Step 5: Solve for x
    x = 3,737,013,492.16/76,797.60
  6. Step 6: Final answer
    x = 48,660.55

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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.