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Finding the Fourth Proportional to 31,164.36, 46,750.66 and 11,443.16

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Solution

The fourth proportional to 31,164.36, 46,750.66 and 11,443.16 is: 17,166.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,164.36 : 46,750.66 = 11,443.16 : x
  2. Step 2: Convert to fraction form
    31,164.36/46,750.66 = 11,443.16/x
  3. Step 3: Cross multiply
    31,164.36x = 46,750.66 × 11,443.16
  4. Step 4: Simplify right side
    31,164.36x = 534,975,282.49
  5. Step 5: Solve for x
    x = 534,975,282.49/31,164.36
  6. Step 6: Final answer
    x = 17,166.25

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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.