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Finding the Fourth Proportional to 29,667.32, 44,506.10 and 9,947.78

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Solution

The fourth proportional to 29,667.32, 44,506.10 and 9,947.78 is: 14,923.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,667.32 : 44,506.10 = 9,947.78 : x
  2. Step 2: Convert to fraction form
    29,667.32/44,506.10 = 9,947.78/x
  3. Step 3: Cross multiply
    29,667.32x = 44,506.10 × 9,947.78
  4. Step 4: Simplify right side
    29,667.32x = 442,736,693.80
  5. Step 5: Solve for x
    x = 442,736,693.80/29,667.32
  6. Step 6: Final answer
    x = 14,923.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.