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Finding the Fourth Proportional to 97,146.76, 145,720.41 and 27,026.14

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Solution

The fourth proportional to 97,146.76, 145,720.41 and 27,026.14 is: 40,539.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,146.76 : 145,720.41 = 27,026.14 : x
  2. Step 2: Convert to fraction form
    97,146.76/145,720.41 = 27,026.14/x
  3. Step 3: Cross multiply
    97,146.76x = 145,720.41 × 27,026.14
  4. Step 4: Simplify right side
    97,146.76x = 3,938,260,201.52
  5. Step 5: Solve for x
    x = 3,938,260,201.52/97,146.76
  6. Step 6: Final answer
    x = 40,539.29

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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.