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Finding the Fourth Proportional to 35,952.14, 53,952.52 and 12,578.78

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Solution

The fourth proportional to 35,952.14, 53,952.52 and 12,578.78 is: 18,876.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,952.14 : 53,952.52 = 12,578.78 : x
  2. Step 2: Convert to fraction form
    35,952.14/53,952.52 = 12,578.78/x
  3. Step 3: Cross multiply
    35,952.14x = 53,952.52 × 12,578.78
  4. Step 4: Simplify right side
    35,952.14x = 678,656,879.53
  5. Step 5: Solve for x
    x = 678,656,879.53/35,952.14
  6. Step 6: Final answer
    x = 18,876.68

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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.