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Finding the Fourth Proportional to 76,113.60, 114,187.68 and 41,052.48

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Solution

The fourth proportional to 76,113.60, 114,187.68 and 41,052.48 is: 61,588.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,113.60 : 114,187.68 = 41,052.48 : x
  2. Step 2: Convert to fraction form
    76,113.60/114,187.68 = 41,052.48/x
  3. Step 3: Cross multiply
    76,113.60x = 114,187.68 × 41,052.48
  4. Step 4: Simplify right side
    76,113.60x = 4,687,687,449.45
  5. Step 5: Solve for x
    x = 4,687,687,449.45/76,113.60
  6. Step 6: Final answer
    x = 61,588.04

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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.