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Finding the Fourth Proportional to 38,296.32, 57,385.80 and 25,770

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Solution

The fourth proportional to 38,296.32, 57,385.80 and 25,770 is: 38,615.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,296.32 : 57,385.80 = 25,770 : x
  2. Step 2: Convert to fraction form
    38,296.32/57,385.80 = 25,770/x
  3. Step 3: Cross multiply
    38,296.32x = 57,385.80 × 25,770
  4. Step 4: Simplify right side
    38,296.32x = 1,478,832,066
  5. Step 5: Solve for x
    x = 1,478,832,066/38,296.32
  6. Step 6: Final answer
    x = 38,615.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.