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Finding the Fourth Proportional to 72,964.71, 100,686.96 and 42,335.44

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Solution

The fourth proportional to 72,964.71, 100,686.96 and 42,335.44 is: 58,420.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,964.71 : 100,686.96 = 42,335.44 : x
  2. Step 2: Convert to fraction form
    72,964.71/100,686.96 = 42,335.44/x
  3. Step 3: Cross multiply
    72,964.71x = 100,686.96 × 42,335.44
  4. Step 4: Simplify right side
    72,964.71x = 4,262,626,753.86
  5. Step 5: Solve for x
    x = 4,262,626,753.86/72,964.71
  6. Step 6: Final answer
    x = 58,420.39

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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.