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Finding the Fourth Proportional to 54,358.66, 75,015.75 and 31,697.02

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Solution

The fourth proportional to 54,358.66, 75,015.75 and 31,697.02 is: 43,742.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,358.66 : 75,015.75 = 31,697.02 : x
  2. Step 2: Convert to fraction form
    54,358.66/75,015.75 = 31,697.02/x
  3. Step 3: Cross multiply
    54,358.66x = 75,015.75 × 31,697.02
  4. Step 4: Simplify right side
    54,358.66x = 2,377,775,728.07
  5. Step 5: Solve for x
    x = 2,377,775,728.07/54,358.66
  6. Step 6: Final answer
    x = 43,742.35

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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.