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Finding the Fourth Proportional to 29,436.84, 44,117.82 and 13,833

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Solution

The fourth proportional to 29,436.84, 44,117.82 and 13,833 is: 20,731.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,436.84 : 44,117.82 = 13,833 : x
  2. Step 2: Convert to fraction form
    29,436.84/44,117.82 = 13,833/x
  3. Step 3: Cross multiply
    29,436.84x = 44,117.82 × 13,833
  4. Step 4: Simplify right side
    29,436.84x = 610,281,804.06
  5. Step 5: Solve for x
    x = 610,281,804.06/29,436.84
  6. Step 6: Final answer
    x = 20,731.91

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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.