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Finding the Fourth Proportional to 31,104.20, 46,642.80 and 14,458.70

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Solution

The fourth proportional to 31,104.20, 46,642.80 and 14,458.70 is: 21,681.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,104.20 : 46,642.80 = 14,458.70 : x
  2. Step 2: Convert to fraction form
    31,104.20/46,642.80 = 14,458.70/x
  3. Step 3: Cross multiply
    31,104.20x = 46,642.80 × 14,458.70
  4. Step 4: Simplify right side
    31,104.20x = 674,394,252.36
  5. Step 5: Solve for x
    x = 674,394,252.36/31,104.20
  6. Step 6: Final answer
    x = 21,681.77

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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.