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Finding the Fourth Proportional to 38,704.32, 53,383.96 and 23,597.61

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Solution

The fourth proportional to 38,704.32, 53,383.96 and 23,597.61 is: 32,547.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,704.32 : 53,383.96 = 23,597.61 : x
  2. Step 2: Convert to fraction form
    38,704.32/53,383.96 = 23,597.61/x
  3. Step 3: Cross multiply
    38,704.32x = 53,383.96 × 23,597.61
  4. Step 4: Simplify right side
    38,704.32x = 1,259,733,868.34
  5. Step 5: Solve for x
    x = 1,259,733,868.34/38,704.32
  6. Step 6: Final answer
    x = 32,547.63

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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.