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Finding the Fourth Proportional to 50,486.64, 69,671.84 and 29,278.48

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Solution

The fourth proportional to 50,486.64, 69,671.84 and 29,278.48 is: 40,404.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,486.64 : 69,671.84 = 29,278.48 : x
  2. Step 2: Convert to fraction form
    50,486.64/69,671.84 = 29,278.48/x
  3. Step 3: Cross multiply
    50,486.64x = 69,671.84 × 29,278.48
  4. Step 4: Simplify right side
    50,486.64x = 2,039,885,574.00
  5. Step 5: Solve for x
    x = 2,039,885,574.00/50,486.64
  6. Step 6: Final answer
    x = 40,404.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.