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Finding the Fourth Proportional to 82,655.92, 114,025.08 and 49,098.16

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Solution

The fourth proportional to 82,655.92, 114,025.08 and 49,098.16 is: 67,731.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,655.92 : 114,025.08 = 49,098.16 : x
  2. Step 2: Convert to fraction form
    82,655.92/114,025.08 = 49,098.16/x
  3. Step 3: Cross multiply
    82,655.92x = 114,025.08 × 49,098.16
  4. Step 4: Simplify right side
    82,655.92x = 5,598,421,621.85
  5. Step 5: Solve for x
    x = 5,598,421,621.85/82,655.92
  6. Step 6: Final answer
    x = 67,731.65

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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.