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Finding the Fourth Proportional to 32,869.40, 49,304.10 and 28,851.80

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Solution

The fourth proportional to 32,869.40, 49,304.10 and 28,851.80 is: 43,277.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,869.40 : 49,304.10 = 28,851.80 : x
  2. Step 2: Convert to fraction form
    32,869.40/49,304.10 = 28,851.80/x
  3. Step 3: Cross multiply
    32,869.40x = 49,304.10 × 28,851.80
  4. Step 4: Simplify right side
    32,869.40x = 1,422,512,032.38
  5. Step 5: Solve for x
    x = 1,422,512,032.38/32,869.40
  6. Step 6: Final answer
    x = 43,277.70

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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.