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Finding the Fourth Proportional to 75,435.24, 113,152.88 and 20,031.24

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Solution

The fourth proportional to 75,435.24, 113,152.88 and 20,031.24 is: 30,046.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,435.24 : 113,152.88 = 20,031.24 : x
  2. Step 2: Convert to fraction form
    75,435.24/113,152.88 = 20,031.24/x
  3. Step 3: Cross multiply
    75,435.24x = 113,152.88 × 20,031.24
  4. Step 4: Simplify right side
    75,435.24x = 2,266,592,495.97
  5. Step 5: Solve for x
    x = 2,266,592,495.97/75,435.24
  6. Step 6: Final answer
    x = 30,046.87

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1.5x scale

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.