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Finding the Fourth Proportional to 29,662.94, 44,499.54 and 9,943.40

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Solution

The fourth proportional to 29,662.94, 44,499.54 and 9,943.40 is: 14,916.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,662.94 : 44,499.54 = 9,943.40 : x
  2. Step 2: Convert to fraction form
    29,662.94/44,499.54 = 9,943.40/x
  3. Step 3: Cross multiply
    29,662.94x = 44,499.54 × 9,943.40
  4. Step 4: Simplify right side
    29,662.94x = 442,476,726.04
  5. Step 5: Solve for x
    x = 442,476,726.04/29,662.94
  6. Step 6: Final answer
    x = 14,916.82

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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.