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Finding the Fourth Proportional to 31,646.52, 47,473.44 and 14,114.16

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Solution

The fourth proportional to 31,646.52, 47,473.44 and 14,114.16 is: 21,172.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,646.52 : 47,473.44 = 14,114.16 : x
  2. Step 2: Convert to fraction form
    31,646.52/47,473.44 = 14,114.16/x
  3. Step 3: Cross multiply
    31,646.52x = 47,473.44 × 14,114.16
  4. Step 4: Simplify right side
    31,646.52x = 670,047,727.91
  5. Step 5: Solve for x
    x = 670,047,727.91/31,646.52
  6. Step 6: Final answer
    x = 21,172.87

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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.