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Finding the Fourth Proportional to 29,987.52, 44,988.56 and 9,211

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Solution

The fourth proportional to 29,987.52, 44,988.56 and 9,211 is: 13,818.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,987.52 : 44,988.56 = 9,211 : x
  2. Step 2: Convert to fraction form
    29,987.52/44,988.56 = 9,211/x
  3. Step 3: Cross multiply
    29,987.52x = 44,988.56 × 9,211
  4. Step 4: Simplify right side
    29,987.52x = 414,389,626.16
  5. Step 5: Solve for x
    x = 414,389,626.16/29,987.52
  6. Step 6: Final answer
    x = 13,818.74

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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.