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Finding the Fourth Proportional to 31,995.40, 47,992.65 and 14,465.20

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Solution

The fourth proportional to 31,995.40, 47,992.65 and 14,465.20 is: 21,697.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,995.40 : 47,992.65 = 14,465.20 : x
  2. Step 2: Convert to fraction form
    31,995.40/47,992.65 = 14,465.20/x
  3. Step 3: Cross multiply
    31,995.40x = 47,992.65 × 14,465.20
  4. Step 4: Simplify right side
    31,995.40x = 694,223,280.78
  5. Step 5: Solve for x
    x = 694,223,280.78/31,995.40
  6. Step 6: Final answer
    x = 21,697.60

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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.