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Finding the Fourth Proportional to 52,974.74, 79,462.17 and 19,703.18

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Solution

The fourth proportional to 52,974.74, 79,462.17 and 19,703.18 is: 29,554.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,974.74 : 79,462.17 = 19,703.18 : x
  2. Step 2: Convert to fraction form
    52,974.74/79,462.17 = 19,703.18/x
  3. Step 3: Cross multiply
    52,974.74x = 79,462.17 × 19,703.18
  4. Step 4: Simplify right side
    52,974.74x = 1,565,657,438.70
  5. Step 5: Solve for x
    x = 1,565,657,438.70/52,974.74
  6. Step 6: Final answer
    x = 29,554.79

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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.