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Finding the Fourth Proportional to 68,414.40, 102,632.88 and 24,029.76

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Solution

The fourth proportional to 68,414.40, 102,632.88 and 24,029.76 is: 36,048.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,414.40 : 102,632.88 = 24,029.76 : x
  2. Step 2: Convert to fraction form
    68,414.40/102,632.88 = 24,029.76/x
  3. Step 3: Cross multiply
    68,414.40x = 102,632.88 × 24,029.76
  4. Step 4: Simplify right side
    68,414.40x = 2,466,243,474.51
  5. Step 5: Solve for x
    x = 2,466,243,474.51/68,414.40
  6. Step 6: Final answer
    x = 36,048.60

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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.