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Finding the Fourth Proportional to 33,574.76, 50,353.76 and 9,877.59

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Solution

The fourth proportional to 33,574.76, 50,353.76 and 9,877.59 is: 14,813.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,574.76 : 50,353.76 = 9,877.59 : x
  2. Step 2: Convert to fraction form
    33,574.76/50,353.76 = 9,877.59/x
  3. Step 3: Cross multiply
    33,574.76x = 50,353.76 × 9,877.59
  4. Step 4: Simplify right side
    33,574.76x = 497,373,695.05
  5. Step 5: Solve for x
    x = 497,373,695.05/33,574.76
  6. Step 6: Final answer
    x = 14,813.92

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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.