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Finding the Fourth Proportional to 53,052.98, 79,472.68 and 24,549.76

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Solution

The fourth proportional to 53,052.98, 79,472.68 and 24,549.76 is: 36,775.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,052.98 : 79,472.68 = 24,549.76 : x
  2. Step 2: Convert to fraction form
    53,052.98/79,472.68 = 24,549.76/x
  3. Step 3: Cross multiply
    53,052.98x = 79,472.68 × 24,549.76
  4. Step 4: Simplify right side
    53,052.98x = 1,951,035,220.56
  5. Step 5: Solve for x
    x = 1,951,035,220.56/53,052.98
  6. Step 6: Final answer
    x = 36,775.22

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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.