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Finding the Fourth Proportional to 56,901.12, 85,353.24 and 15,348

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Solution

The fourth proportional to 56,901.12, 85,353.24 and 15,348 is: 23,022.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,901.12 : 85,353.24 = 15,348 : x
  2. Step 2: Convert to fraction form
    56,901.12/85,353.24 = 15,348/x
  3. Step 3: Cross multiply
    56,901.12x = 85,353.24 × 15,348
  4. Step 4: Simplify right side
    56,901.12x = 1,310,001,527.52
  5. Step 5: Solve for x
    x = 1,310,001,527.52/56,901.12
  6. Step 6: Final answer
    x = 23,022.42

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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.