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Finding the Fourth Proportional to 64,958.52, 97,431.42 and 44,033

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Solution

The fourth proportional to 64,958.52, 97,431.42 and 44,033 is: 66,045.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,958.52 : 97,431.42 = 44,033 : x
  2. Step 2: Convert to fraction form
    64,958.52/97,431.42 = 44,033/x
  3. Step 3: Cross multiply
    64,958.52x = 97,431.42 × 44,033
  4. Step 4: Simplify right side
    64,958.52x = 4,290,197,716.86
  5. Step 5: Solve for x
    x = 4,290,197,716.86/64,958.52
  6. Step 6: Final answer
    x = 66,045.19

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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.