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Finding the Fourth Proportional to 50,877.41, 70,215.14 and 28,223.70

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Solution

The fourth proportional to 50,877.41, 70,215.14 and 28,223.70 is: 38,951.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,877.41 : 70,215.14 = 28,223.70 : x
  2. Step 2: Convert to fraction form
    50,877.41/70,215.14 = 28,223.70/x
  3. Step 3: Cross multiply
    50,877.41x = 70,215.14 × 28,223.70
  4. Step 4: Simplify right side
    50,877.41x = 1,981,731,117.38
  5. Step 5: Solve for x
    x = 1,981,731,117.38/50,877.41
  6. Step 6: Final answer
    x = 38,951.10

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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.