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Finding the Fourth Proportional to 51,774.90, 77,608.50 and 35,136.30

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Solution

The fourth proportional to 51,774.90, 77,608.50 and 35,136.30 is: 52,667.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,774.90 : 77,608.50 = 35,136.30 : x
  2. Step 2: Convert to fraction form
    51,774.90/77,608.50 = 35,136.30/x
  3. Step 3: Cross multiply
    51,774.90x = 77,608.50 × 35,136.30
  4. Step 4: Simplify right side
    51,774.90x = 2,726,875,538.55
  5. Step 5: Solve for x
    x = 2,726,875,538.55/51,774.90
  6. Step 6: Final answer
    x = 52,667.91

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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.