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Finding the Fourth Proportional to 27,343.32, 41,019.30 and 8,871

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Solution

The fourth proportional to 27,343.32, 41,019.30 and 8,871 is: 13,307.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,343.32 : 41,019.30 = 8,871 : x
  2. Step 2: Convert to fraction form
    27,343.32/41,019.30 = 8,871/x
  3. Step 3: Cross multiply
    27,343.32x = 41,019.30 × 8,871
  4. Step 4: Simplify right side
    27,343.32x = 363,882,210.30
  5. Step 5: Solve for x
    x = 363,882,210.30/27,343.32
  6. Step 6: Final answer
    x = 13,307.90

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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.