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Finding the Fourth Proportional to 30,806.40, 46,209.18 and 7,432.64

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Solution

The fourth proportional to 30,806.40, 46,209.18 and 7,432.64 is: 11,148.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,806.40 : 46,209.18 = 7,432.64 : x
  2. Step 2: Convert to fraction form
    30,806.40/46,209.18 = 7,432.64/x
  3. Step 3: Cross multiply
    30,806.40x = 46,209.18 × 7,432.64
  4. Step 4: Simplify right side
    30,806.40x = 343,456,199.64
  5. Step 5: Solve for x
    x = 343,456,199.64/30,806.40
  6. Step 6: Final answer
    x = 11,148.86

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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.