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Finding the Fourth Proportional to 32,206.52, 44,422.50 and 31,122.74

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Solution

The fourth proportional to 32,206.52, 44,422.50 and 31,122.74 is: 42,927.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,206.52 : 44,422.50 = 31,122.74 : x
  2. Step 2: Convert to fraction form
    32,206.52/44,422.50 = 31,122.74/x
  3. Step 3: Cross multiply
    32,206.52x = 44,422.50 × 31,122.74
  4. Step 4: Simplify right side
    32,206.52x = 1,382,549,812.25
  5. Step 5: Solve for x
    x = 1,382,549,812.25/32,206.52
  6. Step 6: Final answer
    x = 42,927.64

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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.