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Finding the Fourth Proportional to 34,765.39, 52,143.22 and 13,690.41

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Solution

The fourth proportional to 34,765.39, 52,143.22 and 13,690.41 is: 20,533.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,765.39 : 52,143.22 = 13,690.41 : x
  2. Step 2: Convert to fraction form
    34,765.39/52,143.22 = 13,690.41/x
  3. Step 3: Cross multiply
    34,765.39x = 52,143.22 × 13,690.41
  4. Step 4: Simplify right side
    34,765.39x = 713,862,060.52
  5. Step 5: Solve for x
    x = 713,862,060.52/34,765.39
  6. Step 6: Final answer
    x = 20,533.70

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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.