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Finding the Fourth Proportional to 121,410.65, 182,012.13 and 46,584.49

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Solution

The fourth proportional to 121,410.65, 182,012.13 and 46,584.49 is: 69,836.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,410.65 : 182,012.13 = 46,584.49 : x
  2. Step 2: Convert to fraction form
    121,410.65/182,012.13 = 46,584.49/x
  3. Step 3: Cross multiply
    121,410.65x = 182,012.13 × 46,584.49
  4. Step 4: Simplify right side
    121,410.65x = 8,478,942,648.02
  5. Step 5: Solve for x
    x = 8,478,942,648.02/121,410.65
  6. Step 6: Final answer
    x = 69,836.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.