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Finding the Fourth Proportional to 57,294.42, 85,942.17 and 17,848.50

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Solution

The fourth proportional to 57,294.42, 85,942.17 and 17,848.50 is: 26,772.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,294.42 : 85,942.17 = 17,848.50 : x
  2. Step 2: Convert to fraction form
    57,294.42/85,942.17 = 17,848.50/x
  3. Step 3: Cross multiply
    57,294.42x = 85,942.17 × 17,848.50
  4. Step 4: Simplify right side
    57,294.42x = 1,533,938,821.25
  5. Step 5: Solve for x
    x = 1,533,938,821.25/57,294.42
  6. Step 6: Final answer
    x = 26,772.92

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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.