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Finding the Fourth Proportional to 29,872.67, 44,812.71 and 9,884.16

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Solution

The fourth proportional to 29,872.67, 44,812.71 and 9,884.16 is: 14,827.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,872.67 : 44,812.71 = 9,884.16 : x
  2. Step 2: Convert to fraction form
    29,872.67/44,812.71 = 9,884.16/x
  3. Step 3: Cross multiply
    29,872.67x = 44,812.71 × 9,884.16
  4. Step 4: Simplify right side
    29,872.67x = 442,935,995.67
  5. Step 5: Solve for x
    x = 442,935,995.67/29,872.67
  6. Step 6: Final answer
    x = 14,827.47

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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.