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Finding the Fourth Proportional to 31,002.28, 46,506.48 and 9,937.01

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Solution

The fourth proportional to 31,002.28, 46,506.48 and 9,937.01 is: 14,906.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,002.28 : 46,506.48 = 9,937.01 : x
  2. Step 2: Convert to fraction form
    31,002.28/46,506.48 = 9,937.01/x
  3. Step 3: Cross multiply
    31,002.28x = 46,506.48 × 9,937.01
  4. Step 4: Simplify right side
    31,002.28x = 462,135,473.09
  5. Step 5: Solve for x
    x = 462,135,473.09/31,002.28
  6. Step 6: Final answer
    x = 14,906.50

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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.