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Finding the Fourth Proportional to 38,478.78, 53,106.03 and 23,377.68

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Solution

The fourth proportional to 38,478.78, 53,106.03 and 23,377.68 is: 32,264.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,478.78 : 53,106.03 = 23,377.68 : x
  2. Step 2: Convert to fraction form
    38,478.78/53,106.03 = 23,377.68/x
  3. Step 3: Cross multiply
    38,478.78x = 53,106.03 × 23,377.68
  4. Step 4: Simplify right side
    38,478.78x = 1,241,495,775.41
  5. Step 5: Solve for x
    x = 1,241,495,775.41/38,478.78
  6. Step 6: Final answer
    x = 32,264.43

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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.