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Finding the Fourth Proportional to 97,141.44, 145,712.40 and 27,020.76

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Solution

The fourth proportional to 97,141.44, 145,712.40 and 27,020.76 is: 40,531.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,141.44 : 145,712.40 = 27,020.76 : x
  2. Step 2: Convert to fraction form
    97,141.44/145,712.40 = 27,020.76/x
  3. Step 3: Cross multiply
    97,141.44x = 145,712.40 × 27,020.76
  4. Step 4: Simplify right side
    97,141.44x = 3,937,259,789.42
  5. Step 5: Solve for x
    x = 3,937,259,789.42/97,141.44
  6. Step 6: Final answer
    x = 40,531.21

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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.