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Finding the Fourth Proportional to 51,186.88, 70,609.38 and 29,962.06

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Solution

The fourth proportional to 51,186.88, 70,609.38 and 29,962.06 is: 41,330.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,186.88 : 70,609.38 = 29,962.06 : x
  2. Step 2: Convert to fraction form
    51,186.88/70,609.38 = 29,962.06/x
  3. Step 3: Cross multiply
    51,186.88x = 70,609.38 × 29,962.06
  4. Step 4: Simplify right side
    51,186.88x = 2,115,602,480.12
  5. Step 5: Solve for x
    x = 2,115,602,480.12/51,186.88
  6. Step 6: Final answer
    x = 41,330.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.