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Finding the Fourth Proportional to 43,435, 65,122.62 and 17,142.76

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Solution

The fourth proportional to 43,435, 65,122.62 and 17,142.76 is: 25,702.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,435 : 65,122.62 = 17,142.76 : x
  2. Step 2: Convert to fraction form
    43,435/65,122.62 = 17,142.76/x
  3. Step 3: Cross multiply
    43,435x = 65,122.62 × 17,142.76
  4. Step 4: Simplify right side
    43,435x = 1,116,381,445.23
  5. Step 5: Solve for x
    x = 1,116,381,445.23/43,435
  6. Step 6: Final answer
    x = 25,702.35

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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.