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Finding the Fourth Proportional to 29,718.52, 44,554.74 and 13,291

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Solution

The fourth proportional to 29,718.52, 44,554.74 and 13,291 is: 19,926.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,718.52 : 44,554.74 = 13,291 : x
  2. Step 2: Convert to fraction form
    29,718.52/44,554.74 = 13,291/x
  3. Step 3: Cross multiply
    29,718.52x = 44,554.74 × 13,291
  4. Step 4: Simplify right side
    29,718.52x = 592,177,049.34
  5. Step 5: Solve for x
    x = 592,177,049.34/29,718.52
  6. Step 6: Final answer
    x = 19,926.20

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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.