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Finding the Fourth Proportional to 76,459.60, 114,663.42 and 29,063.28

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Solution

The fourth proportional to 76,459.60, 114,663.42 and 29,063.28 is: 43,585.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,459.60 : 114,663.42 = 29,063.28 : x
  2. Step 2: Convert to fraction form
    76,459.60/114,663.42 = 29,063.28/x
  3. Step 3: Cross multiply
    76,459.60x = 114,663.42 × 29,063.28
  4. Step 4: Simplify right side
    76,459.60x = 3,332,495,270.46
  5. Step 5: Solve for x
    x = 3,332,495,270.46/76,459.60
  6. Step 6: Final answer
    x = 43,585.05

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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.