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Finding the Fourth Proportional to 38,532.94, 53,169.26 and 23,417.52

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Solution

The fourth proportional to 38,532.94, 53,169.26 and 23,417.52 is: 32,312.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,532.94 : 53,169.26 = 23,417.52 : x
  2. Step 2: Convert to fraction form
    38,532.94/53,169.26 = 23,417.52/x
  3. Step 3: Cross multiply
    38,532.94x = 53,169.26 × 23,417.52
  4. Step 4: Simplify right side
    38,532.94x = 1,245,092,209.44
  5. Step 5: Solve for x
    x = 1,245,092,209.44/38,532.94
  6. Step 6: Final answer
    x = 32,312.41

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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.