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Finding the Fourth Proportional to 33,045.74, 49,528 and 13,035.14

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Solution

The fourth proportional to 33,045.74, 49,528 and 13,035.14 is: 19,536.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,045.74 : 49,528 = 13,035.14 : x
  2. Step 2: Convert to fraction form
    33,045.74/49,528 = 13,035.14/x
  3. Step 3: Cross multiply
    33,045.74x = 49,528 × 13,035.14
  4. Step 4: Simplify right side
    33,045.74x = 645,604,413.92
  5. Step 5: Solve for x
    x = 645,604,413.92/33,045.74
  6. Step 6: Final answer
    x = 19,536.69

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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.