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Finding the Fourth Proportional to 31,116.49, 46,646.65 and 21,124.60

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Solution

The fourth proportional to 31,116.49, 46,646.65 and 21,124.60 is: 31,667.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,116.49 : 46,646.65 = 21,124.60 : x
  2. Step 2: Convert to fraction form
    31,116.49/46,646.65 = 21,124.60/x
  3. Step 3: Cross multiply
    31,116.49x = 46,646.65 × 21,124.60
  4. Step 4: Simplify right side
    31,116.49x = 985,391,822.59
  5. Step 5: Solve for x
    x = 985,391,822.59/31,116.49
  6. Step 6: Final answer
    x = 31,667.83

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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.