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Finding the Fourth Proportional to 97,160.68, 145,744.86 and 27,046.12

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Solution

The fourth proportional to 97,160.68, 145,744.86 and 27,046.12 is: 40,570.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,160.68 : 145,744.86 = 27,046.12 : x
  2. Step 2: Convert to fraction form
    97,160.68/145,744.86 = 27,046.12/x
  3. Step 3: Cross multiply
    97,160.68x = 145,744.86 × 27,046.12
  4. Step 4: Simplify right side
    97,160.68x = 3,941,832,972.94
  5. Step 5: Solve for x
    x = 3,941,832,972.94/97,160.68
  6. Step 6: Final answer
    x = 40,570.25

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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.