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Finding the Fourth Proportional to 97,756.88, 146,641.52 and 27,641.66

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Solution

The fourth proportional to 97,756.88, 146,641.52 and 27,641.66 is: 41,464.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,756.88 : 146,641.52 = 27,641.66 : x
  2. Step 2: Convert to fraction form
    97,756.88/146,641.52 = 27,641.66/x
  3. Step 3: Cross multiply
    97,756.88x = 146,641.52 × 27,641.66
  4. Step 4: Simplify right side
    97,756.88x = 4,053,414,373.62
  5. Step 5: Solve for x
    x = 4,053,414,373.62/97,756.88
  6. Step 6: Final answer
    x = 41,464.24

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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.