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Finding the Fourth Proportional to 102,029.49, 153,044.03 and 27,149.63

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Solution

The fourth proportional to 102,029.49, 153,044.03 and 27,149.63 is: 40,724.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,029.49 : 153,044.03 = 27,149.63 : x
  2. Step 2: Convert to fraction form
    102,029.49/153,044.03 = 27,149.63/x
  3. Step 3: Cross multiply
    102,029.49x = 153,044.03 × 27,149.63
  4. Step 4: Simplify right side
    102,029.49x = 4,155,087,887.24
  5. Step 5: Solve for x
    x = 4,155,087,887.24/102,029.49
  6. Step 6: Final answer
    x = 40,724.38

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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.