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Finding the Fourth Proportional to 29,927.84, 44,892.20 and 8,870

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Solution

The fourth proportional to 29,927.84, 44,892.20 and 8,870 is: 13,305.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,927.84 : 44,892.20 = 8,870 : x
  2. Step 2: Convert to fraction form
    29,927.84/44,892.20 = 8,870/x
  3. Step 3: Cross multiply
    29,927.84x = 44,892.20 × 8,870
  4. Step 4: Simplify right side
    29,927.84x = 398,193,814
  5. Step 5: Solve for x
    x = 398,193,814/29,927.84
  6. Step 6: Final answer
    x = 13,305.13

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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.