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Finding the Fourth Proportional to 30,807.31, 46,211.07 and 7,433.75

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Solution

The fourth proportional to 30,807.31, 46,211.07 and 7,433.75 is: 11,150.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,807.31 : 46,211.07 = 7,433.75 : x
  2. Step 2: Convert to fraction form
    30,807.31/46,211.07 = 7,433.75/x
  3. Step 3: Cross multiply
    30,807.31x = 46,211.07 × 7,433.75
  4. Step 4: Simplify right side
    30,807.31x = 343,521,541.61
  5. Step 5: Solve for x
    x = 343,521,541.61/30,807.31
  6. Step 6: Final answer
    x = 11,150.65

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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.