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Finding the Fourth Proportional to 78,442.68, 108,251.75 and 42,632.70

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Solution

The fourth proportional to 78,442.68, 108,251.75 and 42,632.70 is: 58,833.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,442.68 : 108,251.75 = 42,632.70 : x
  2. Step 2: Convert to fraction form
    78,442.68/108,251.75 = 42,632.70/x
  3. Step 3: Cross multiply
    78,442.68x = 108,251.75 × 42,632.70
  4. Step 4: Simplify right side
    78,442.68x = 4,615,064,382.23
  5. Step 5: Solve for x
    x = 4,615,064,382.23/78,442.68
  6. Step 6: Final answer
    x = 58,833.59

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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.