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Finding the Fourth Proportional to 38,301.84, 52,857.72 and 23,197.32

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Solution

The fourth proportional to 38,301.84, 52,857.72 and 23,197.32 is: 32,013.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,301.84 : 52,857.72 = 23,197.32 : x
  2. Step 2: Convert to fraction form
    38,301.84/52,857.72 = 23,197.32/x
  3. Step 3: Cross multiply
    38,301.84x = 52,857.72 × 23,197.32
  4. Step 4: Simplify right side
    38,301.84x = 1,226,157,445.31
  5. Step 5: Solve for x
    x = 1,226,157,445.31/38,301.84
  6. Step 6: Final answer
    x = 32,013.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.