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Finding the Fourth Proportional to 52,578.74, 72,565.04 and 29,923.25

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Solution

The fourth proportional to 52,578.74, 72,565.04 and 29,923.25 is: 41,297.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,578.74 : 72,565.04 = 29,923.25 : x
  2. Step 2: Convert to fraction form
    52,578.74/72,565.04 = 29,923.25/x
  3. Step 3: Cross multiply
    52,578.74x = 72,565.04 × 29,923.25
  4. Step 4: Simplify right side
    52,578.74x = 2,171,381,545.16
  5. Step 5: Solve for x
    x = 2,171,381,545.16/52,578.74
  6. Step 6: Final answer
    x = 41,297.71

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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.