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Finding the Fourth Proportional to 32,206.14, 44,422.02 and 31,122.36

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Solution

The fourth proportional to 32,206.14, 44,422.02 and 31,122.36 is: 42,927.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,206.14 : 44,422.02 = 31,122.36 : x
  2. Step 2: Convert to fraction form
    32,206.14/44,422.02 = 31,122.36/x
  3. Step 3: Cross multiply
    32,206.14x = 44,422.02 × 31,122.36
  4. Step 4: Simplify right side
    32,206.14x = 1,382,518,098.37
  5. Step 5: Solve for x
    x = 1,382,518,098.37/32,206.14
  6. Step 6: Final answer
    x = 42,927.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.