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Finding the Fourth Proportional to 55,463.76, 83,222.64 and 24,294.96

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Solution

The fourth proportional to 55,463.76, 83,222.64 and 24,294.96 is: 36,454.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,463.76 : 83,222.64 = 24,294.96 : x
  2. Step 2: Convert to fraction form
    55,463.76/83,222.64 = 24,294.96/x
  3. Step 3: Cross multiply
    55,463.76x = 83,222.64 × 24,294.96
  4. Step 4: Simplify right side
    55,463.76x = 2,021,890,709.89
  5. Step 5: Solve for x
    x = 2,021,890,709.89/55,463.76
  6. Step 6: Final answer
    x = 36,454.27

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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.