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Finding the Fourth Proportional to 33,039.76, 49,567.92 and 10,854.40

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Solution

The fourth proportional to 33,039.76, 49,567.92 and 10,854.40 is: 16,284.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,039.76 : 49,567.92 = 10,854.40 : x
  2. Step 2: Convert to fraction form
    33,039.76/49,567.92 = 10,854.40/x
  3. Step 3: Cross multiply
    33,039.76x = 49,567.92 × 10,854.40
  4. Step 4: Simplify right side
    33,039.76x = 538,030,030.85
  5. Step 5: Solve for x
    x = 538,030,030.85/33,039.76
  6. Step 6: Final answer
    x = 16,284.32

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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.