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Finding the Fourth Proportional to 38,766.38, 53,505.93 and 23,655.80

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Solution

The fourth proportional to 38,766.38, 53,505.93 and 23,655.80 is: 32,650.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,766.38 : 53,505.93 = 23,655.80 : x
  2. Step 2: Convert to fraction form
    38,766.38/53,505.93 = 23,655.80/x
  3. Step 3: Cross multiply
    38,766.38x = 53,505.93 × 23,655.80
  4. Step 4: Simplify right side
    38,766.38x = 1,265,725,311.36
  5. Step 5: Solve for x
    x = 1,265,725,311.36/38,766.38
  6. Step 6: Final answer
    x = 32,650.08

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Why These Related Problems?

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