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Finding the Fourth Proportional to 52,014.56, 71,780.06 and 28,141.24

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Solution

The fourth proportional to 52,014.56, 71,780.06 and 28,141.24 is: 38,834.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,014.56 : 71,780.06 = 28,141.24 : x
  2. Step 2: Convert to fraction form
    52,014.56/71,780.06 = 28,141.24/x
  3. Step 3: Cross multiply
    52,014.56x = 71,780.06 × 28,141.24
  4. Step 4: Simplify right side
    52,014.56x = 2,019,979,895.67
  5. Step 5: Solve for x
    x = 2,019,979,895.67/52,014.56
  6. Step 6: Final answer
    x = 38,834.89

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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.