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Finding the Fourth Proportional to 49,002.30, 67,661.19 and 37,653.84

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Solution

The fourth proportional to 49,002.30, 67,661.19 and 37,653.84 is: 51,991.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,002.30 : 67,661.19 = 37,653.84 : x
  2. Step 2: Convert to fraction form
    49,002.30/67,661.19 = 37,653.84/x
  3. Step 3: Cross multiply
    49,002.30x = 67,661.19 × 37,653.84
  4. Step 4: Simplify right side
    49,002.30x = 2,547,703,622.47
  5. Step 5: Solve for x
    x = 2,547,703,622.47/49,002.30
  6. Step 6: Final answer
    x = 51,991.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.