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Finding the Fourth Proportional to 38,315.64, 52,859.34 and 23,403

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Solution

The fourth proportional to 38,315.64, 52,859.34 and 23,403 is: 32,286.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,315.64 : 52,859.34 = 23,403 : x
  2. Step 2: Convert to fraction form
    38,315.64/52,859.34 = 23,403/x
  3. Step 3: Cross multiply
    38,315.64x = 52,859.34 × 23,403
  4. Step 4: Simplify right side
    38,315.64x = 1,237,067,134.02
  5. Step 5: Solve for x
    x = 1,237,067,134.02/38,315.64
  6. Step 6: Final answer
    x = 32,286.22

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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.