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Finding the Fourth Proportional to 42,578.40, 63,896.40 and 23,858.40

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Solution

The fourth proportional to 42,578.40, 63,896.40 and 23,858.40 is: 35,803.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,578.40 : 63,896.40 = 23,858.40 : x
  2. Step 2: Convert to fraction form
    42,578.40/63,896.40 = 23,858.40/x
  3. Step 3: Cross multiply
    42,578.40x = 63,896.40 × 23,858.40
  4. Step 4: Simplify right side
    42,578.40x = 1,524,465,869.76
  5. Step 5: Solve for x
    x = 1,524,465,869.76/42,578.40
  6. Step 6: Final answer
    x = 35,803.74

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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.