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Finding the Fourth Proportional to 78,442.30, 108,251.04 and 42,632.30

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Solution

The fourth proportional to 78,442.30, 108,251.04 and 42,632.30 is: 58,832.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,442.30 : 108,251.04 = 42,632.30 : x
  2. Step 2: Convert to fraction form
    78,442.30/108,251.04 = 42,632.30/x
  3. Step 3: Cross multiply
    78,442.30x = 108,251.04 × 42,632.30
  4. Step 4: Simplify right side
    78,442.30x = 4,614,990,812.59
  5. Step 5: Solve for x
    x = 4,614,990,812.59/78,442.30
  6. Step 6: Final answer
    x = 58,832.94

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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.