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Finding the Fourth Proportional to 31,574.43, 47,320.49 and 12,832.56

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Solution

The fourth proportional to 31,574.43, 47,320.49 and 12,832.56 is: 19,232.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,574.43 : 47,320.49 = 12,832.56 : x
  2. Step 2: Convert to fraction form
    31,574.43/47,320.49 = 12,832.56/x
  3. Step 3: Cross multiply
    31,574.43x = 47,320.49 × 12,832.56
  4. Step 4: Simplify right side
    31,574.43x = 607,242,962.99
  5. Step 5: Solve for x
    x = 607,242,962.99/31,574.43
  6. Step 6: Final answer
    x = 19,232.11

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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.