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Finding the Fourth Proportional to 31,089.88, 46,634.36 and 7,716.32

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Solution

The fourth proportional to 31,089.88, 46,634.36 and 7,716.32 is: 11,574.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,089.88 : 46,634.36 = 7,716.32 : x
  2. Step 2: Convert to fraction form
    31,089.88/46,634.36 = 7,716.32/x
  3. Step 3: Cross multiply
    31,089.88x = 46,634.36 × 7,716.32
  4. Step 4: Simplify right side
    31,089.88x = 359,845,644.76
  5. Step 5: Solve for x
    x = 359,845,644.76/31,089.88
  6. Step 6: Final answer
    x = 11,574.37

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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.