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Finding the Fourth Proportional to 54,964, 75,850.32 and 31,090.16

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Solution

The fourth proportional to 54,964, 75,850.32 and 31,090.16 is: 42,904.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,964 : 75,850.32 = 31,090.16 : x
  2. Step 2: Convert to fraction form
    54,964/75,850.32 = 31,090.16/x
  3. Step 3: Cross multiply
    54,964x = 75,850.32 × 31,090.16
  4. Step 4: Simplify right side
    54,964x = 2,358,198,584.85
  5. Step 5: Solve for x
    x = 2,358,198,584.85/54,964
  6. Step 6: Final answer
    x = 42,904.42

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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.