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Finding the Fourth Proportional to 31,056.45, 46,593.99 and 9,708.30

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Solution

The fourth proportional to 31,056.45, 46,593.99 and 9,708.30 is: 14,565.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,056.45 : 46,593.99 = 9,708.30 : x
  2. Step 2: Convert to fraction form
    31,056.45/46,593.99 = 9,708.30/x
  3. Step 3: Cross multiply
    31,056.45x = 46,593.99 × 9,708.30
  4. Step 4: Simplify right side
    31,056.45x = 452,348,433.12
  5. Step 5: Solve for x
    x = 452,348,433.12/31,056.45
  6. Step 6: Final answer
    x = 14,565.36

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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.