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Finding the Fourth Proportional to 73,294.64, 101,143.50 and 41,464.08

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Solution

The fourth proportional to 73,294.64, 101,143.50 and 41,464.08 is: 57,218.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,294.64 : 101,143.50 = 41,464.08 : x
  2. Step 2: Convert to fraction form
    73,294.64/101,143.50 = 41,464.08/x
  3. Step 3: Cross multiply
    73,294.64x = 101,143.50 × 41,464.08
  4. Step 4: Simplify right side
    73,294.64x = 4,193,822,175.48
  5. Step 5: Solve for x
    x = 4,193,822,175.48/73,294.64
  6. Step 6: Final answer
    x = 57,218.67

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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.