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Finding the Fourth Proportional to 31,055.36, 46,582.49 and 7,681.79

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Solution

The fourth proportional to 31,055.36, 46,582.49 and 7,681.79 is: 11,522.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,055.36 : 46,582.49 = 7,681.79 : x
  2. Step 2: Convert to fraction form
    31,055.36/46,582.49 = 7,681.79/x
  3. Step 3: Cross multiply
    31,055.36x = 46,582.49 × 7,681.79
  4. Step 4: Simplify right side
    31,055.36x = 357,836,634.54
  5. Step 5: Solve for x
    x = 357,836,634.54/31,055.36
  6. Step 6: Final answer
    x = 11,522.54

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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.