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Finding the Fourth Proportional to 35,542.98, 53,202.66 and 24,384.42

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Solution

The fourth proportional to 35,542.98, 53,202.66 and 24,384.42 is: 36,499.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,542.98 : 53,202.66 = 24,384.42 : x
  2. Step 2: Convert to fraction form
    35,542.98/53,202.66 = 24,384.42/x
  3. Step 3: Cross multiply
    35,542.98x = 53,202.66 × 24,384.42
  4. Step 4: Simplify right side
    35,542.98x = 1,297,316,006.56
  5. Step 5: Solve for x
    x = 1,297,316,006.56/35,542.98
  6. Step 6: Final answer
    x = 36,499.92

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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.