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Finding the Fourth Proportional to 31,158.46, 46,698 and 22,410.46

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Solution

The fourth proportional to 31,158.46, 46,698 and 22,410.46 is: 33,587.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,158.46 : 46,698 = 22,410.46 : x
  2. Step 2: Convert to fraction form
    31,158.46/46,698 = 22,410.46/x
  3. Step 3: Cross multiply
    31,158.46x = 46,698 × 22,410.46
  4. Step 4: Simplify right side
    31,158.46x = 1,046,523,661.08
  5. Step 5: Solve for x
    x = 1,046,523,661.08/31,158.46
  6. Step 6: Final answer
    x = 33,587.14

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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.