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Finding the Fourth Proportional to 31,187.16, 46,751.55 and 11,460.42

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Solution

The fourth proportional to 31,187.16, 46,751.55 and 11,460.42 is: 17,179.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,187.16 : 46,751.55 = 11,460.42 : x
  2. Step 2: Convert to fraction form
    31,187.16/46,751.55 = 11,460.42/x
  3. Step 3: Cross multiply
    31,187.16x = 46,751.55 × 11,460.42
  4. Step 4: Simplify right side
    31,187.16x = 535,792,398.65
  5. Step 5: Solve for x
    x = 535,792,398.65/31,187.16
  6. Step 6: Final answer
    x = 17,179.90

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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.