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Finding the Fourth Proportional to 31,244.40, 46,870.71 and 11,536.80

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Solution

The fourth proportional to 31,244.40, 46,870.71 and 11,536.80 is: 17,306.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,244.40 : 46,870.71 = 11,536.80 : x
  2. Step 2: Convert to fraction form
    31,244.40/46,870.71 = 11,536.80/x
  3. Step 3: Cross multiply
    31,244.40x = 46,870.71 × 11,536.80
  4. Step 4: Simplify right side
    31,244.40x = 540,738,007.13
  5. Step 5: Solve for x
    x = 540,738,007.13/31,244.40
  6. Step 6: Final answer
    x = 17,306.72

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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.