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Finding the Fourth Proportional to 82,654.92, 114,023.70 and 49,097.16

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Solution

The fourth proportional to 82,654.92, 114,023.70 and 49,097.16 is: 67,730.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,654.92 : 114,023.70 = 49,097.16 : x
  2. Step 2: Convert to fraction form
    82,654.92/114,023.70 = 49,097.16/x
  3. Step 3: Cross multiply
    82,654.92x = 114,023.70 × 49,097.16
  4. Step 4: Simplify right side
    82,654.92x = 5,598,239,842.69
  5. Step 5: Solve for x
    x = 5,598,239,842.69/82,654.92
  6. Step 6: Final answer
    x = 67,730.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.