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Finding the Fourth Proportional to 42,737.41, 59,043.09 and 34,142.50

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Solution

The fourth proportional to 42,737.41, 59,043.09 and 34,142.50 is: 47,168.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,737.41 : 59,043.09 = 34,142.50 : x
  2. Step 2: Convert to fraction form
    42,737.41/59,043.09 = 34,142.50/x
  3. Step 3: Cross multiply
    42,737.41x = 59,043.09 × 34,142.50
  4. Step 4: Simplify right side
    42,737.41x = 2,015,878,700.33
  5. Step 5: Solve for x
    x = 2,015,878,700.33/42,737.41
  6. Step 6: Final answer
    x = 47,168.95

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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.