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Finding the Fourth Proportional to 31,066.90, 46,509.22 and 27,860.52

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Solution

The fourth proportional to 31,066.90, 46,509.22 and 27,860.52 is: 41,709.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,066.90 : 46,509.22 = 27,860.52 : x
  2. Step 2: Convert to fraction form
    31,066.90/46,509.22 = 27,860.52/x
  3. Step 3: Cross multiply
    31,066.90x = 46,509.22 × 27,860.52
  4. Step 4: Simplify right side
    31,066.90x = 1,295,771,053.99
  5. Step 5: Solve for x
    x = 1,295,771,053.99/31,066.90
  6. Step 6: Final answer
    x = 41,709.06

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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.