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Finding the Fourth Proportional to 31,241.49, 46,860.80 and 9,054.38

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Solution

The fourth proportional to 31,241.49, 46,860.80 and 9,054.38 is: 13,581.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,241.49 : 46,860.80 = 9,054.38 : x
  2. Step 2: Convert to fraction form
    31,241.49/46,860.80 = 9,054.38/x
  3. Step 3: Cross multiply
    31,241.49x = 46,860.80 × 9,054.38
  4. Step 4: Simplify right side
    31,241.49x = 424,295,210.73
  5. Step 5: Solve for x
    x = 424,295,210.73/31,241.49
  6. Step 6: Final answer
    x = 13,581.15

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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.