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Finding the Fourth Proportional to 31,287.96, 46,937.06 and 10,221.89

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Solution

The fourth proportional to 31,287.96, 46,937.06 and 10,221.89 is: 15,334.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,287.96 : 46,937.06 = 10,221.89 : x
  2. Step 2: Convert to fraction form
    31,287.96/46,937.06 = 10,221.89/x
  3. Step 3: Cross multiply
    31,287.96x = 46,937.06 × 10,221.89
  4. Step 4: Simplify right side
    31,287.96x = 479,785,178.45
  5. Step 5: Solve for x
    x = 479,785,178.45/31,287.96
  6. Step 6: Final answer
    x = 15,334.50

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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.