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Finding the Fourth Proportional to 33,005.40, 49,508.10 and 24,257.40

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Solution

The fourth proportional to 33,005.40, 49,508.10 and 24,257.40 is: 36,386.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,005.40 : 49,508.10 = 24,257.40 : x
  2. Step 2: Convert to fraction form
    33,005.40/49,508.10 = 24,257.40/x
  3. Step 3: Cross multiply
    33,005.40x = 49,508.10 × 24,257.40
  4. Step 4: Simplify right side
    33,005.40x = 1,200,937,784.94
  5. Step 5: Solve for x
    x = 1,200,937,784.94/33,005.40
  6. Step 6: Final answer
    x = 36,386.10

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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.