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Finding the Fourth Proportional to 75,952, 113,924.56 and 23,359.20

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Solution

The fourth proportional to 75,952, 113,924.56 and 23,359.20 is: 35,037.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,952 : 113,924.56 = 23,359.20 : x
  2. Step 2: Convert to fraction form
    75,952/113,924.56 = 23,359.20/x
  3. Step 3: Cross multiply
    75,952x = 113,924.56 × 23,359.20
  4. Step 4: Simplify right side
    75,952x = 2,661,186,581.95
  5. Step 5: Solve for x
    x = 2,661,186,581.95/75,952
  6. Step 6: Final answer
    x = 35,037.74

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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.