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Finding the Fourth Proportional to 77,023.28, 115,541.40 and 27,098.12

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Solution

The fourth proportional to 77,023.28, 115,541.40 and 27,098.12 is: 40,649.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,023.28 : 115,541.40 = 27,098.12 : x
  2. Step 2: Convert to fraction form
    77,023.28/115,541.40 = 27,098.12/x
  3. Step 3: Cross multiply
    77,023.28x = 115,541.40 × 27,098.12
  4. Step 4: Simplify right side
    77,023.28x = 3,130,954,722.17
  5. Step 5: Solve for x
    x = 3,130,954,722.17/77,023.28
  6. Step 6: Final answer
    x = 40,649.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.