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Finding the Fourth Proportional to 28,292.28, 42,397.46 and 15,644.50

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Solution

The fourth proportional to 28,292.28, 42,397.46 and 15,644.50 is: 23,444.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,292.28 : 42,397.46 = 15,644.50 : x
  2. Step 2: Convert to fraction form
    28,292.28/42,397.46 = 15,644.50/x
  3. Step 3: Cross multiply
    28,292.28x = 42,397.46 × 15,644.50
  4. Step 4: Simplify right side
    28,292.28x = 663,287,062.97
  5. Step 5: Solve for x
    x = 663,287,062.97/28,292.28
  6. Step 6: Final answer
    x = 23,444.10

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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.