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Finding the Fourth Proportional to 50,545.34, 69,752.36 and 27,885.74

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Solution

The fourth proportional to 50,545.34, 69,752.36 and 27,885.74 is: 38,482.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,545.34 : 69,752.36 = 27,885.74 : x
  2. Step 2: Convert to fraction form
    50,545.34/69,752.36 = 27,885.74/x
  3. Step 3: Cross multiply
    50,545.34x = 69,752.36 × 27,885.74
  4. Step 4: Simplify right side
    50,545.34x = 1,945,096,175.35
  5. Step 5: Solve for x
    x = 1,945,096,175.35/50,545.34
  6. Step 6: Final answer
    x = 38,482.21

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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.