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Finding the Fourth Proportional to 38,748, 53,481.96 and 22,826.64

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Solution

The fourth proportional to 38,748, 53,481.96 and 22,826.64 is: 31,506.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,748 : 53,481.96 = 22,826.64 : x
  2. Step 2: Convert to fraction form
    38,748/53,481.96 = 22,826.64/x
  3. Step 3: Cross multiply
    38,748x = 53,481.96 × 22,826.64
  4. Step 4: Simplify right side
    38,748x = 1,220,813,447.41
  5. Step 5: Solve for x
    x = 1,220,813,447.41/38,748
  6. Step 6: Final answer
    x = 31,506.49

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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.