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Finding the Fourth Proportional to 31,057.10, 46,585.09 and 7,683.54

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Solution

The fourth proportional to 31,057.10, 46,585.09 and 7,683.54 is: 11,525.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,057.10 : 46,585.09 = 7,683.54 : x
  2. Step 2: Convert to fraction form
    31,057.10/46,585.09 = 7,683.54/x
  3. Step 3: Cross multiply
    31,057.10x = 46,585.09 × 7,683.54
  4. Step 4: Simplify right side
    31,057.10x = 357,938,402.42
  5. Step 5: Solve for x
    x = 357,938,402.42/31,057.10
  6. Step 6: Final answer
    x = 11,525.17

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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.