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Finding the Fourth Proportional to 42,005.55, 57,942.03 and 24,998.40

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Solution

The fourth proportional to 42,005.55, 57,942.03 and 24,998.40 is: 34,482.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,005.55 : 57,942.03 = 24,998.40 : x
  2. Step 2: Convert to fraction form
    42,005.55/57,942.03 = 24,998.40/x
  3. Step 3: Cross multiply
    42,005.55x = 57,942.03 × 24,998.40
  4. Step 4: Simplify right side
    42,005.55x = 1,448,458,042.75
  5. Step 5: Solve for x
    x = 1,448,458,042.75/42,005.55
  6. Step 6: Final answer
    x = 34,482.54

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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.