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Finding the Fourth Proportional to 35,338.50, 52,974.18 and 13,136.76

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Solution

The fourth proportional to 35,338.50, 52,974.18 and 13,136.76 is: 19,692.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,338.50 : 52,974.18 = 13,136.76 : x
  2. Step 2: Convert to fraction form
    35,338.50/52,974.18 = 13,136.76/x
  3. Step 3: Cross multiply
    35,338.50x = 52,974.18 × 13,136.76
  4. Step 4: Simplify right side
    35,338.50x = 695,909,088.86
  5. Step 5: Solve for x
    x = 695,909,088.86/35,338.50
  6. Step 6: Final answer
    x = 19,692.66

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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.