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Finding the Fourth Proportional to 31,143.72, 46,687.80 and 11,417.68

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Solution

The fourth proportional to 31,143.72, 46,687.80 and 11,417.68 is: 17,116.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,143.72 : 46,687.80 = 11,417.68 : x
  2. Step 2: Convert to fraction form
    31,143.72/46,687.80 = 11,417.68/x
  3. Step 3: Cross multiply
    31,143.72x = 46,687.80 × 11,417.68
  4. Step 4: Simplify right side
    31,143.72x = 533,066,126.87
  5. Step 5: Solve for x
    x = 533,066,126.87/31,143.72
  6. Step 6: Final answer
    x = 17,116.33

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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.