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Finding the Fourth Proportional to 31,204.49, 46,797.01 and 10,423.13

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Solution

The fourth proportional to 31,204.49, 46,797.01 and 10,423.13 is: 15,631.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,204.49 : 46,797.01 = 10,423.13 : x
  2. Step 2: Convert to fraction form
    31,204.49/46,797.01 = 10,423.13/x
  3. Step 3: Cross multiply
    31,204.49x = 46,797.01 × 10,423.13
  4. Step 4: Simplify right side
    31,204.49x = 487,771,058.80
  5. Step 5: Solve for x
    x = 487,771,058.80/31,204.49
  6. Step 6: Final answer
    x = 15,631.44

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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.