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Finding the Fourth Proportional to 82,602.68, 123,860.10 and 32,680.76

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Solution

The fourth proportional to 82,602.68, 123,860.10 and 32,680.76 is: 49,003.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,602.68 : 123,860.10 = 32,680.76 : x
  2. Step 2: Convert to fraction form
    82,602.68/123,860.10 = 32,680.76/x
  3. Step 3: Cross multiply
    82,602.68x = 123,860.10 × 32,680.76
  4. Step 4: Simplify right side
    82,602.68x = 4,047,842,201.68
  5. Step 5: Solve for x
    x = 4,047,842,201.68/82,602.68
  6. Step 6: Final answer
    x = 49,003.76

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1.5x scale

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.