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Finding the Fourth Proportional to 50,938.80, 70,299.98 and 28,282.16

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Solution

The fourth proportional to 50,938.80, 70,299.98 and 28,282.16 is: 39,031.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,938.80 : 70,299.98 = 28,282.16 : x
  2. Step 2: Convert to fraction form
    50,938.80/70,299.98 = 28,282.16/x
  3. Step 3: Cross multiply
    50,938.80x = 70,299.98 × 28,282.16
  4. Step 4: Simplify right side
    50,938.80x = 1,988,235,343.21
  5. Step 5: Solve for x
    x = 1,988,235,343.21/50,938.80
  6. Step 6: Final answer
    x = 39,031.85

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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.