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Finding the Fourth Proportional to 101,275.14, 151,931.16 and 34,722

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Solution

The fourth proportional to 101,275.14, 151,931.16 and 34,722 is: 52,089.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,275.14 : 151,931.16 = 34,722 : x
  2. Step 2: Convert to fraction form
    101,275.14/151,931.16 = 34,722/x
  3. Step 3: Cross multiply
    101,275.14x = 151,931.16 × 34,722
  4. Step 4: Simplify right side
    101,275.14x = 5,275,353,737.52
  5. Step 5: Solve for x
    x = 5,275,353,737.52/101,275.14
  6. Step 6: Final answer
    x = 52,089.33

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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.