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Finding the Fourth Proportional to 54,967.58, 75,855.28 and 31,093.75

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Solution

The fourth proportional to 54,967.58, 75,855.28 and 31,093.75 is: 42,909.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,967.58 : 75,855.28 = 31,093.75 : x
  2. Step 2: Convert to fraction form
    54,967.58/75,855.28 = 31,093.75/x
  3. Step 3: Cross multiply
    54,967.58x = 75,855.28 × 31,093.75
  4. Step 4: Simplify right side
    54,967.58x = 2,358,624,733.22
  5. Step 5: Solve for x
    x = 2,358,624,733.22/54,967.58
  6. Step 6: Final answer
    x = 42,909.38

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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.