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Finding the Fourth Proportional to 38,102.86, 52,581.90 and 21,107.10

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Solution

The fourth proportional to 38,102.86, 52,581.90 and 21,107.10 is: 29,127.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,102.86 : 52,581.90 = 21,107.10 : x
  2. Step 2: Convert to fraction form
    38,102.86/52,581.90 = 21,107.10/x
  3. Step 3: Cross multiply
    38,102.86x = 52,581.90 × 21,107.10
  4. Step 4: Simplify right side
    38,102.86x = 1,109,851,421.49
  5. Step 5: Solve for x
    x = 1,109,851,421.49/38,102.86
  6. Step 6: Final answer
    x = 29,127.77

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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.