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Finding the Fourth Proportional to 38,410.32, 57,605.76 and 12,101.52

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Solution

The fourth proportional to 38,410.32, 57,605.76 and 12,101.52 is: 18,149.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,410.32 : 57,605.76 = 12,101.52 : x
  2. Step 2: Convert to fraction form
    38,410.32/57,605.76 = 12,101.52/x
  3. Step 3: Cross multiply
    38,410.32x = 57,605.76 × 12,101.52
  4. Step 4: Simplify right side
    38,410.32x = 697,117,256.76
  5. Step 5: Solve for x
    x = 697,117,256.76/38,410.32
  6. Step 6: Final answer
    x = 18,149.22

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