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Finding the Fourth Proportional to 71,735.30, 107,602.07 and 32,264.54

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Solution

The fourth proportional to 71,735.30, 107,602.07 and 32,264.54 is: 48,396.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,735.30 : 107,602.07 = 32,264.54 : x
  2. Step 2: Convert to fraction form
    71,735.30/107,602.07 = 32,264.54/x
  3. Step 3: Cross multiply
    71,735.30x = 107,602.07 × 32,264.54
  4. Step 4: Simplify right side
    71,735.30x = 3,471,730,592.26
  5. Step 5: Solve for x
    x = 3,471,730,592.26/71,735.30
  6. Step 6: Final answer
    x = 48,396.41

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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.