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Finding the Fourth Proportional to 54,465.30, 81,697.95 and 31,094.10

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Solution

The fourth proportional to 54,465.30, 81,697.95 and 31,094.10 is: 46,641.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,465.30 : 81,697.95 = 31,094.10 : x
  2. Step 2: Convert to fraction form
    54,465.30/81,697.95 = 31,094.10/x
  3. Step 3: Cross multiply
    54,465.30x = 81,697.95 × 31,094.10
  4. Step 4: Simplify right side
    54,465.30x = 2,540,324,227.10
  5. Step 5: Solve for x
    x = 2,540,324,227.10/54,465.30
  6. Step 6: Final answer
    x = 46,641.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.