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Finding the Fourth Proportional to 53,969.89, 80,948.51 and 14,523.90

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Solution

The fourth proportional to 53,969.89, 80,948.51 and 14,523.90 is: 21,784.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,969.89 : 80,948.51 = 14,523.90 : x
  2. Step 2: Convert to fraction form
    53,969.89/80,948.51 = 14,523.90/x
  3. Step 3: Cross multiply
    53,969.89x = 80,948.51 × 14,523.90
  4. Step 4: Simplify right side
    53,969.89x = 1,175,687,659.65
  5. Step 5: Solve for x
    x = 1,175,687,659.65/53,969.89
  6. Step 6: Final answer
    x = 21,784.14

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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.