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Finding the Fourth Proportional to 25,763.56, 38,414.57 and 25,297

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Solution

The fourth proportional to 25,763.56, 38,414.57 and 25,297 is: 37,718.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,763.56 : 38,414.57 = 25,297 : x
  2. Step 2: Convert to fraction form
    25,763.56/38,414.57 = 25,297/x
  3. Step 3: Cross multiply
    25,763.56x = 38,414.57 × 25,297
  4. Step 4: Simplify right side
    25,763.56x = 971,773,377.29
  5. Step 5: Solve for x
    x = 971,773,377.29/25,763.56
  6. Step 6: Final answer
    x = 37,718.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.