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Finding the Fourth Proportional to 31,077.62, 46,616.18 and 18,601.10

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Solution

The fourth proportional to 31,077.62, 46,616.18 and 18,601.10 is: 27,901.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,077.62 : 46,616.18 = 18,601.10 : x
  2. Step 2: Convert to fraction form
    31,077.62/46,616.18 = 18,601.10/x
  3. Step 3: Cross multiply
    31,077.62x = 46,616.18 × 18,601.10
  4. Step 4: Simplify right side
    31,077.62x = 867,112,225.80
  5. Step 5: Solve for x
    x = 867,112,225.80/31,077.62
  6. Step 6: Final answer
    x = 27,901.50

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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.