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Finding the Fourth Proportional to 72,974, 100,700.20 and 41,140.84

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Solution

The fourth proportional to 72,974, 100,700.20 and 41,140.84 is: 56,772.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,974 : 100,700.20 = 41,140.84 : x
  2. Step 2: Convert to fraction form
    72,974/100,700.20 = 41,140.84/x
  3. Step 3: Cross multiply
    72,974x = 100,700.20 × 41,140.84
  4. Step 4: Simplify right side
    72,974x = 4,142,890,816.17
  5. Step 5: Solve for x
    x = 4,142,890,816.17/72,974
  6. Step 6: Final answer
    x = 56,772.15

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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.