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Finding the Fourth Proportional to 33,691.58, 50,509.62 and 13,430.38

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Solution

The fourth proportional to 33,691.58, 50,509.62 and 13,430.38 is: 20,134.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,691.58 : 50,509.62 = 13,430.38 : x
  2. Step 2: Convert to fraction form
    33,691.58/50,509.62 = 13,430.38/x
  3. Step 3: Cross multiply
    33,691.58x = 50,509.62 × 13,430.38
  4. Step 4: Simplify right side
    33,691.58x = 678,363,390.26
  5. Step 5: Solve for x
    x = 678,363,390.26/33,691.58
  6. Step 6: Final answer
    x = 20,134.51

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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.