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Finding the Fourth Proportional to 124,662.41, 186,993.61 and 31,168.16

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Solution

The fourth proportional to 124,662.41, 186,993.61 and 31,168.16 is: 46,752.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,662.41 : 186,993.61 = 31,168.16 : x
  2. Step 2: Convert to fraction form
    124,662.41/186,993.61 = 31,168.16/x
  3. Step 3: Cross multiply
    124,662.41x = 186,993.61 × 31,168.16
  4. Step 4: Simplify right side
    124,662.41x = 5,828,246,619.12
  5. Step 5: Solve for x
    x = 5,828,246,619.12/124,662.41
  6. Step 6: Final answer
    x = 46,752.24

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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.