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Finding the Fourth Proportional to 31,119.88, 46,685.74 and 11,399.52

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Solution

The fourth proportional to 31,119.88, 46,685.74 and 11,399.52 is: 17,101.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,119.88 : 46,685.74 = 11,399.52 : x
  2. Step 2: Convert to fraction form
    31,119.88/46,685.74 = 11,399.52/x
  3. Step 3: Cross multiply
    31,119.88x = 46,685.74 × 11,399.52
  4. Step 4: Simplify right side
    31,119.88x = 532,195,026.84
  5. Step 5: Solve for x
    x = 532,195,026.84/31,119.88
  6. Step 6: Final answer
    x = 17,101.45

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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.