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Finding the Fourth Proportional to 29,531.76, 44,306.19 and 9,544.31

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Solution

The fourth proportional to 29,531.76, 44,306.19 and 9,544.31 is: 14,319.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,531.76 : 44,306.19 = 9,544.31 : x
  2. Step 2: Convert to fraction form
    29,531.76/44,306.19 = 9,544.31/x
  3. Step 3: Cross multiply
    29,531.76x = 44,306.19 × 9,544.31
  4. Step 4: Simplify right side
    29,531.76x = 422,871,790.75
  5. Step 5: Solve for x
    x = 422,871,790.75/29,531.76
  6. Step 6: Final answer
    x = 14,319.22

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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.