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Finding the Fourth Proportional to 57,272.40, 85,916.70 and 17,825.40

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Solution

The fourth proportional to 57,272.40, 85,916.70 and 17,825.40 is: 26,740.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,272.40 : 85,916.70 = 17,825.40 : x
  2. Step 2: Convert to fraction form
    57,272.40/85,916.70 = 17,825.40/x
  3. Step 3: Cross multiply
    57,272.40x = 85,916.70 × 17,825.40
  4. Step 4: Simplify right side
    57,272.40x = 1,531,499,544.18
  5. Step 5: Solve for x
    x = 1,531,499,544.18/57,272.40
  6. Step 6: Final answer
    x = 26,740.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.