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Finding the Fourth Proportional to 31,129.50, 46,694.28 and 10,087.20

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Solution

The fourth proportional to 31,129.50, 46,694.28 and 10,087.20 is: 15,130.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,129.50 : 46,694.28 = 10,087.20 : x
  2. Step 2: Convert to fraction form
    31,129.50/46,694.28 = 10,087.20/x
  3. Step 3: Cross multiply
    31,129.50x = 46,694.28 × 10,087.20
  4. Step 4: Simplify right side
    31,129.50x = 471,014,541.22
  5. Step 5: Solve for x
    x = 471,014,541.22/31,129.50
  6. Step 6: Final answer
    x = 15,130.81

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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.