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Finding the Fourth Proportional to 29,578, 44,345.13 and 17,888.62

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Solution

The fourth proportional to 29,578, 44,345.13 and 17,888.62 is: 26,819.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,578 : 44,345.13 = 17,888.62 : x
  2. Step 2: Convert to fraction form
    29,578/44,345.13 = 17,888.62/x
  3. Step 3: Cross multiply
    29,578x = 44,345.13 × 17,888.62
  4. Step 4: Simplify right side
    29,578x = 793,273,179.42
  5. Step 5: Solve for x
    x = 793,273,179.42/29,578
  6. Step 6: Final answer
    x = 26,819.70

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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.