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Finding the Fourth Proportional to 31,057.36, 46,585.48 and 7,683.79

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Solution

The fourth proportional to 31,057.36, 46,585.48 and 7,683.79 is: 11,525.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,057.36 : 46,585.48 = 7,683.79 : x
  2. Step 2: Convert to fraction form
    31,057.36/46,585.48 = 7,683.79/x
  3. Step 3: Cross multiply
    31,057.36x = 46,585.48 × 7,683.79
  4. Step 4: Simplify right side
    31,057.36x = 357,953,045.37
  5. Step 5: Solve for x
    x = 357,953,045.37/31,057.36
  6. Step 6: Final answer
    x = 11,525.55

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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.