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Finding the Fourth Proportional to 38,768.02, 53,508.21 and 23,657.46

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Solution

The fourth proportional to 38,768.02, 53,508.21 and 23,657.46 is: 32,652.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,768.02 : 53,508.21 = 23,657.46 : x
  2. Step 2: Convert to fraction form
    38,768.02/53,508.21 = 23,657.46/x
  3. Step 3: Cross multiply
    38,768.02x = 53,508.21 × 23,657.46
  4. Step 4: Simplify right side
    38,768.02x = 1,265,868,337.75
  5. Step 5: Solve for x
    x = 1,265,868,337.75/38,768.02
  6. Step 6: Final answer
    x = 32,652.39

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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.