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Finding the Fourth Proportional to 29,720.82, 44,549.79 and 10,988.82

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Solution

The fourth proportional to 29,720.82, 44,549.79 and 10,988.82 is: 16,471.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,720.82 : 44,549.79 = 10,988.82 : x
  2. Step 2: Convert to fraction form
    29,720.82/44,549.79 = 10,988.82/x
  3. Step 3: Cross multiply
    29,720.82x = 44,549.79 × 10,988.82
  4. Step 4: Simplify right side
    29,720.82x = 489,549,623.35
  5. Step 5: Solve for x
    x = 489,549,623.35/29,720.82
  6. Step 6: Final answer
    x = 16,471.61

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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.