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Finding the Fourth Proportional to 55,533, 83,308.17 and 18,084.24

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Solution

The fourth proportional to 55,533, 83,308.17 and 18,084.24 is: 27,129.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,533 : 83,308.17 = 18,084.24 : x
  2. Step 2: Convert to fraction form
    55,533/83,308.17 = 18,084.24/x
  3. Step 3: Cross multiply
    55,533x = 83,308.17 × 18,084.24
  4. Step 4: Simplify right side
    55,533x = 1,506,564,940.24
  5. Step 5: Solve for x
    x = 1,506,564,940.24/55,533
  6. Step 6: Final answer
    x = 27,129.18

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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.