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Finding the Fourth Proportional to 55,446.84, 83,210.31 and 22,176.18

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Solution

The fourth proportional to 55,446.84, 83,210.31 and 22,176.18 is: 33,280.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,446.84 : 83,210.31 = 22,176.18 : x
  2. Step 2: Convert to fraction form
    55,446.84/83,210.31 = 22,176.18/x
  3. Step 3: Cross multiply
    55,446.84x = 83,210.31 × 22,176.18
  4. Step 4: Simplify right side
    55,446.84x = 1,845,286,812.42
  5. Step 5: Solve for x
    x = 1,845,286,812.42/55,446.84
  6. Step 6: Final answer
    x = 33,280.29

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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.