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Finding the Fourth Proportional to 54,847.35, 75,684.65 and 30,971.79

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Solution

The fourth proportional to 54,847.35, 75,684.65 and 30,971.79 is: 42,738.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,847.35 : 75,684.65 = 30,971.79 : x
  2. Step 2: Convert to fraction form
    54,847.35/75,684.65 = 30,971.79/x
  3. Step 3: Cross multiply
    54,847.35x = 75,684.65 × 30,971.79
  4. Step 4: Simplify right side
    54,847.35x = 2,344,088,931.16
  5. Step 5: Solve for x
    x = 2,344,088,931.16/54,847.35
  6. Step 6: Final answer
    x = 42,738.42

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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.