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Finding the Fourth Proportional to 101,410.32, 152,135.76 and 31,287

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Solution

The fourth proportional to 101,410.32, 152,135.76 and 31,287 is: 46,936.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,410.32 : 152,135.76 = 31,287 : x
  2. Step 2: Convert to fraction form
    101,410.32/152,135.76 = 31,287/x
  3. Step 3: Cross multiply
    101,410.32x = 152,135.76 × 31,287
  4. Step 4: Simplify right side
    101,410.32x = 4,759,871,523.12
  5. Step 5: Solve for x
    x = 4,759,871,523.12/101,410.32
  6. Step 6: Final answer
    x = 46,936.76

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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.