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Finding the Fourth Proportional to 52,702.88, 79,065.84 and 15,769.76

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Solution

The fourth proportional to 52,702.88, 79,065.84 and 15,769.76 is: 23,658.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,702.88 : 79,065.84 = 15,769.76 : x
  2. Step 2: Convert to fraction form
    52,702.88/79,065.84 = 15,769.76/x
  3. Step 3: Cross multiply
    52,702.88x = 79,065.84 × 15,769.76
  4. Step 4: Simplify right side
    52,702.88x = 1,246,849,321.00
  5. Step 5: Solve for x
    x = 1,246,849,321.00/52,702.88
  6. Step 6: Final answer
    x = 23,658.09

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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.