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Finding the Fourth Proportional to 32,202, 44,423.64 and 22,775.76

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Solution

The fourth proportional to 32,202, 44,423.64 and 22,775.76 is: 31,419.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,202 : 44,423.64 = 22,775.76 : x
  2. Step 2: Convert to fraction form
    32,202/44,423.64 = 22,775.76/x
  3. Step 3: Cross multiply
    32,202x = 44,423.64 × 22,775.76
  4. Step 4: Simplify right side
    32,202x = 1,011,782,162.97
  5. Step 5: Solve for x
    x = 1,011,782,162.97/32,202
  6. Step 6: Final answer
    x = 31,419.85

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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.