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Finding the Fourth Proportional to 96,031.88, 132,525 and 53,589.50

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Solution

The fourth proportional to 96,031.88, 132,525 and 53,589.50 is: 73,954.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,031.88 : 132,525 = 53,589.50 : x
  2. Step 2: Convert to fraction form
    96,031.88/132,525 = 53,589.50/x
  3. Step 3: Cross multiply
    96,031.88x = 132,525 × 53,589.50
  4. Step 4: Simplify right side
    96,031.88x = 7,101,948,487.50
  5. Step 5: Solve for x
    x = 7,101,948,487.50/96,031.88
  6. Step 6: Final answer
    x = 73,954.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.