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Finding the Fourth Proportional to 97,544.88, 146,284.20 and 27,407.88

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Solution

The fourth proportional to 97,544.88, 146,284.20 and 27,407.88 is: 41,102.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,544.88 : 146,284.20 = 27,407.88 : x
  2. Step 2: Convert to fraction form
    97,544.88/146,284.20 = 27,407.88/x
  3. Step 3: Cross multiply
    97,544.88x = 146,284.20 × 27,407.88
  4. Step 4: Simplify right side
    97,544.88x = 4,009,339,799.50
  5. Step 5: Solve for x
    x = 4,009,339,799.50/97,544.88
  6. Step 6: Final answer
    x = 41,102.51

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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.