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Finding the Fourth Proportional to 51,008.01, 70,380.14 and 29,777.64

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Solution

The fourth proportional to 51,008.01, 70,380.14 and 29,777.64 is: 41,086.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,008.01 : 70,380.14 = 29,777.64 : x
  2. Step 2: Convert to fraction form
    51,008.01/70,380.14 = 29,777.64/x
  3. Step 3: Cross multiply
    51,008.01x = 70,380.14 × 29,777.64
  4. Step 4: Simplify right side
    51,008.01x = 2,095,754,323.18
  5. Step 5: Solve for x
    x = 2,095,754,323.18/51,008.01
  6. Step 6: Final answer
    x = 41,086.77

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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.