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Finding the Fourth Proportional to 31,040.88, 46,561.32 and 7,667.76

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Solution

The fourth proportional to 31,040.88, 46,561.32 and 7,667.76 is: 11,501.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,040.88 : 46,561.32 = 7,667.76 : x
  2. Step 2: Convert to fraction form
    31,040.88/46,561.32 = 7,667.76/x
  3. Step 3: Cross multiply
    31,040.88x = 46,561.32 × 7,667.76
  4. Step 4: Simplify right side
    31,040.88x = 357,021,027.04
  5. Step 5: Solve for x
    x = 357,021,027.04/31,040.88
  6. Step 6: Final answer
    x = 11,501.64

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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.