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Finding the Fourth Proportional to 28,462.50, 42,693.72 and 15,820.30

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Solution

The fourth proportional to 28,462.50, 42,693.72 and 15,820.30 is: 23,730.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,462.50 : 42,693.72 = 15,820.30 : x
  2. Step 2: Convert to fraction form
    28,462.50/42,693.72 = 15,820.30/x
  3. Step 3: Cross multiply
    28,462.50x = 42,693.72 × 15,820.30
  4. Step 4: Simplify right side
    28,462.50x = 675,427,458.52
  5. Step 5: Solve for x
    x = 675,427,458.52/28,462.50
  6. Step 6: Final answer
    x = 23,730.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.