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Finding the Fourth Proportional to 52,113.74, 71,916.78 and 28,241

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Solution

The fourth proportional to 52,113.74, 71,916.78 and 28,241 is: 38,972.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,113.74 : 71,916.78 = 28,241 : x
  2. Step 2: Convert to fraction form
    52,113.74/71,916.78 = 28,241/x
  3. Step 3: Cross multiply
    52,113.74x = 71,916.78 × 28,241
  4. Step 4: Simplify right side
    52,113.74x = 2,031,001,783.98
  5. Step 5: Solve for x
    x = 2,031,001,783.98/52,113.74
  6. Step 6: Final answer
    x = 38,972.48

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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.