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Finding the Fourth Proportional to 55,624.32, 83,402.84 and 21,849.90

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Solution

The fourth proportional to 55,624.32, 83,402.84 and 21,849.90 is: 32,761.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,624.32 : 83,402.84 = 21,849.90 : x
  2. Step 2: Convert to fraction form
    55,624.32/83,402.84 = 21,849.90/x
  3. Step 3: Cross multiply
    55,624.32x = 83,402.84 × 21,849.90
  4. Step 4: Simplify right side
    55,624.32x = 1,822,343,604.47
  5. Step 5: Solve for x
    x = 1,822,343,604.47/55,624.32
  6. Step 6: Final answer
    x = 32,761.64

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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.