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Finding the Fourth Proportional to 97,539.93, 146,309.90 and 27,419.24

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Solution

The fourth proportional to 97,539.93, 146,309.90 and 27,419.24 is: 41,128.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,539.93 : 146,309.90 = 27,419.24 : x
  2. Step 2: Convert to fraction form
    97,539.93/146,309.90 = 27,419.24/x
  3. Step 3: Cross multiply
    97,539.93x = 146,309.90 × 27,419.24
  4. Step 4: Simplify right side
    97,539.93x = 4,011,706,491.15
  5. Step 5: Solve for x
    x = 4,011,706,491.15/97,539.93
  6. Step 6: Final answer
    x = 41,128.86

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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.