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Finding the Fourth Proportional to 33,125.76, 49,709.16 and 13,404.47

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Solution

The fourth proportional to 33,125.76, 49,709.16 and 13,404.47 is: 20,115.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,125.76 : 49,709.16 = 13,404.47 : x
  2. Step 2: Convert to fraction form
    33,125.76/49,709.16 = 13,404.47/x
  3. Step 3: Cross multiply
    33,125.76x = 49,709.16 × 13,404.47
  4. Step 4: Simplify right side
    33,125.76x = 666,324,695.40
  5. Step 5: Solve for x
    x = 666,324,695.40/33,125.76
  6. Step 6: Final answer
    x = 20,115.00

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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.