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Finding the Fourth Proportional to 102,029.85, 153,044.58 and 27,150

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Solution

The fourth proportional to 102,029.85, 153,044.58 and 27,150 is: 40,724.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,029.85 : 153,044.58 = 27,150 : x
  2. Step 2: Convert to fraction form
    102,029.85/153,044.58 = 27,150/x
  3. Step 3: Cross multiply
    102,029.85x = 153,044.58 × 27,150
  4. Step 4: Simplify right side
    102,029.85x = 4,155,160,347.00
  5. Step 5: Solve for x
    x = 4,155,160,347.00/102,029.85
  6. Step 6: Final answer
    x = 40,724.95

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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.