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Finding the Fourth Proportional to 31,040.68, 46,559.80 and 7,666.52

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Solution

The fourth proportional to 31,040.68, 46,559.80 and 7,666.52 is: 11,499.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,040.68 : 46,559.80 = 7,666.52 : x
  2. Step 2: Convert to fraction form
    31,040.68/46,559.80 = 7,666.52/x
  3. Step 3: Cross multiply
    31,040.68x = 46,559.80 × 7,666.52
  4. Step 4: Simplify right side
    31,040.68x = 356,951,637.90
  5. Step 5: Solve for x
    x = 356,951,637.90/31,040.68
  6. Step 6: Final answer
    x = 11,499.48

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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.