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Finding the Fourth Proportional to 52,031.42, 71,803.14 and 28,158.12

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Solution

The fourth proportional to 52,031.42, 71,803.14 and 28,158.12 is: 38,858.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,031.42 : 71,803.14 = 28,158.12 : x
  2. Step 2: Convert to fraction form
    52,031.42/71,803.14 = 28,158.12/x
  3. Step 3: Cross multiply
    52,031.42x = 71,803.14 × 28,158.12
  4. Step 4: Simplify right side
    52,031.42x = 2,021,841,432.50
  5. Step 5: Solve for x
    x = 2,021,841,432.50/52,031.42
  6. Step 6: Final answer
    x = 38,858.09

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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.