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Finding the Fourth Proportional to 42,807.44, 64,124.12 and 34,938

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Solution

The fourth proportional to 42,807.44, 64,124.12 and 34,938 is: 52,335.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,807.44 : 64,124.12 = 34,938 : x
  2. Step 2: Convert to fraction form
    42,807.44/64,124.12 = 34,938/x
  3. Step 3: Cross multiply
    42,807.44x = 64,124.12 × 34,938
  4. Step 4: Simplify right side
    42,807.44x = 2,240,368,504.56
  5. Step 5: Solve for x
    x = 2,240,368,504.56/42,807.44
  6. Step 6: Final answer
    x = 52,335.96

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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.