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Finding the Fourth Proportional to 29,891.84, 44,844.56 and 9,901.28

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Solution

The fourth proportional to 29,891.84, 44,844.56 and 9,901.28 is: 14,854.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,891.84 : 44,844.56 = 9,901.28 : x
  2. Step 2: Convert to fraction form
    29,891.84/44,844.56 = 9,901.28/x
  3. Step 3: Cross multiply
    29,891.84x = 44,844.56 × 9,901.28
  4. Step 4: Simplify right side
    29,891.84x = 444,018,545.04
  5. Step 5: Solve for x
    x = 444,018,545.04/29,891.84
  6. Step 6: Final answer
    x = 14,854.17

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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.