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Finding the Fourth Proportional to 31,476.36, 47,182.96 and 14,621.20

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Solution

The fourth proportional to 31,476.36, 47,182.96 and 14,621.20 is: 21,917.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,476.36 : 47,182.96 = 14,621.20 : x
  2. Step 2: Convert to fraction form
    31,476.36/47,182.96 = 14,621.20/x
  3. Step 3: Cross multiply
    31,476.36x = 47,182.96 × 14,621.20
  4. Step 4: Simplify right side
    31,476.36x = 689,871,637.58
  5. Step 5: Solve for x
    x = 689,871,637.58/31,476.36
  6. Step 6: Final answer
    x = 21,917.13

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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.