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Finding the Fourth Proportional to 74,470.92, 111,714.59 and 21,884.50

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Solution

The fourth proportional to 74,470.92, 111,714.59 and 21,884.50 is: 32,829.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,470.92 : 111,714.59 = 21,884.50 : x
  2. Step 2: Convert to fraction form
    74,470.92/111,714.59 = 21,884.50/x
  3. Step 3: Cross multiply
    74,470.92x = 111,714.59 × 21,884.50
  4. Step 4: Simplify right side
    74,470.92x = 2,444,817,944.86
  5. Step 5: Solve for x
    x = 2,444,817,944.86/74,470.92
  6. Step 6: Final answer
    x = 32,829.16

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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.