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Finding the Fourth Proportional to 32,206.25, 44,429.51 and 22,780.01

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Solution

The fourth proportional to 32,206.25, 44,429.51 and 22,780.01 is: 31,425.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,206.25 : 44,429.51 = 22,780.01 : x
  2. Step 2: Convert to fraction form
    32,206.25/44,429.51 = 22,780.01/x
  3. Step 3: Cross multiply
    32,206.25x = 44,429.51 × 22,780.01
  4. Step 4: Simplify right side
    32,206.25x = 1,012,104,568.20
  5. Step 5: Solve for x
    x = 1,012,104,568.20/32,206.25
  6. Step 6: Final answer
    x = 31,425.72

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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.