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Finding the Fourth Proportional to 29,703.38, 44,559.16 and 9,983.46

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Solution

The fourth proportional to 29,703.38, 44,559.16 and 9,983.46 is: 14,976.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,703.38 : 44,559.16 = 9,983.46 : x
  2. Step 2: Convert to fraction form
    29,703.38/44,559.16 = 9,983.46/x
  3. Step 3: Cross multiply
    29,703.38x = 44,559.16 × 9,983.46
  4. Step 4: Simplify right side
    29,703.38x = 444,854,591.49
  5. Step 5: Solve for x
    x = 444,854,591.49/29,703.38
  6. Step 6: Final answer
    x = 14,976.56

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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.