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Finding the Fourth Proportional to 33,061.38, 49,599.72 and 9,689.64

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Solution

The fourth proportional to 33,061.38, 49,599.72 and 9,689.64 is: 14,536.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,061.38 : 49,599.72 = 9,689.64 : x
  2. Step 2: Convert to fraction form
    33,061.38/49,599.72 = 9,689.64/x
  3. Step 3: Cross multiply
    33,061.38x = 49,599.72 × 9,689.64
  4. Step 4: Simplify right side
    33,061.38x = 480,603,430.90
  5. Step 5: Solve for x
    x = 480,603,430.90/33,061.38
  6. Step 6: Final answer
    x = 14,536.70

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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.