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Finding the Fourth Proportional to 42,342.50, 58,415.99 and 24,434.05

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Solution

The fourth proportional to 42,342.50, 58,415.99 and 24,434.05 is: 33,709.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,342.50 : 58,415.99 = 24,434.05 : x
  2. Step 2: Convert to fraction form
    42,342.50/58,415.99 = 24,434.05/x
  3. Step 3: Cross multiply
    42,342.50x = 58,415.99 × 24,434.05
  4. Step 4: Simplify right side
    42,342.50x = 1,427,338,952.25
  5. Step 5: Solve for x
    x = 1,427,338,952.25/42,342.50
  6. Step 6: Final answer
    x = 33,709.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.