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Finding the Fourth Proportional to 49,132.25, 73,698.86 and 12,196.25

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Solution

The fourth proportional to 49,132.25, 73,698.86 and 12,196.25 is: 18,294.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,132.25 : 73,698.86 = 12,196.25 : x
  2. Step 2: Convert to fraction form
    49,132.25/73,698.86 = 12,196.25/x
  3. Step 3: Cross multiply
    49,132.25x = 73,698.86 × 12,196.25
  4. Step 4: Simplify right side
    49,132.25x = 898,849,660.29
  5. Step 5: Solve for x
    x = 898,849,660.29/49,132.25
  6. Step 6: Final answer
    x = 18,294.49

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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.