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Finding the Fourth Proportional to 52,702.87, 79,064.89 and 19,423.11

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Solution

The fourth proportional to 52,702.87, 79,064.89 and 19,423.11 is: 29,138.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,702.87 : 79,064.89 = 19,423.11 : x
  2. Step 2: Convert to fraction form
    52,702.87/79,064.89 = 19,423.11/x
  3. Step 3: Cross multiply
    52,702.87x = 79,064.89 × 19,423.11
  4. Step 4: Simplify right side
    52,702.87x = 1,535,686,055.61
  5. Step 5: Solve for x
    x = 1,535,686,055.61/52,702.87
  6. Step 6: Final answer
    x = 29,138.57

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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.