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Finding the Fourth Proportional to 34,301.12, 51,708.74 and 32,015

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Solution

The fourth proportional to 34,301.12, 51,708.74 and 32,015 is: 48,262.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,301.12 : 51,708.74 = 32,015 : x
  2. Step 2: Convert to fraction form
    34,301.12/51,708.74 = 32,015/x
  3. Step 3: Cross multiply
    34,301.12x = 51,708.74 × 32,015
  4. Step 4: Simplify right side
    34,301.12x = 1,655,455,311.10
  5. Step 5: Solve for x
    x = 1,655,455,311.10/34,301.12
  6. Step 6: Final answer
    x = 48,262.43

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.