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Finding the Fourth Proportional to 31,010.80, 46,559.40 and 19,346.80

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Solution

The fourth proportional to 31,010.80, 46,559.40 and 19,346.80 is: 29,047.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,010.80 : 46,559.40 = 19,346.80 : x
  2. Step 2: Convert to fraction form
    31,010.80/46,559.40 = 19,346.80/x
  3. Step 3: Cross multiply
    31,010.80x = 46,559.40 × 19,346.80
  4. Step 4: Simplify right side
    31,010.80x = 900,775,399.92
  5. Step 5: Solve for x
    x = 900,775,399.92/31,010.80
  6. Step 6: Final answer
    x = 29,047.15

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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.