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Finding the Fourth Proportional to 65,036.88, 97,545.12 and 20,657.78

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Solution

The fourth proportional to 65,036.88, 97,545.12 and 20,657.78 is: 30,983.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,036.88 : 97,545.12 = 20,657.78 : x
  2. Step 2: Convert to fraction form
    65,036.88/97,545.12 = 20,657.78/x
  3. Step 3: Cross multiply
    65,036.88x = 97,545.12 × 20,657.78
  4. Step 4: Simplify right side
    65,036.88x = 2,015,065,629.03
  5. Step 5: Solve for x
    x = 2,015,065,629.03/65,036.88
  6. Step 6: Final answer
    x = 30,983.43

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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.