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Finding the Fourth Proportional to 101,393.90, 152,040.09 and 31,264.10

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Solution

The fourth proportional to 101,393.90, 152,040.09 and 31,264.10 is: 46,880.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,393.90 : 152,040.09 = 31,264.10 : x
  2. Step 2: Convert to fraction form
    101,393.90/152,040.09 = 31,264.10/x
  3. Step 3: Cross multiply
    101,393.90x = 152,040.09 × 31,264.10
  4. Step 4: Simplify right side
    101,393.90x = 4,753,396,577.77
  5. Step 5: Solve for x
    x = 4,753,396,577.77/101,393.90
  6. Step 6: Final answer
    x = 46,880.50

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Why These Related Problems?

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