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Finding the Fourth Proportional to 29,570.87, 40,807.98 and 16,142.46

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Solution

The fourth proportional to 29,570.87, 40,807.98 and 16,142.46 is: 22,276.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,570.87 : 40,807.98 = 16,142.46 : x
  2. Step 2: Convert to fraction form
    29,570.87/40,807.98 = 16,142.46/x
  3. Step 3: Cross multiply
    29,570.87x = 40,807.98 × 16,142.46
  4. Step 4: Simplify right side
    29,570.87x = 658,741,184.83
  5. Step 5: Solve for x
    x = 658,741,184.83/29,570.87
  6. Step 6: Final answer
    x = 22,276.70

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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.