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Finding the Fourth Proportional to 64,638, 89,201.52 and 42,282

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Solution

The fourth proportional to 64,638, 89,201.52 and 42,282 is: 58,349.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,638 : 89,201.52 = 42,282 : x
  2. Step 2: Convert to fraction form
    64,638/89,201.52 = 42,282/x
  3. Step 3: Cross multiply
    64,638x = 89,201.52 × 42,282
  4. Step 4: Simplify right side
    64,638x = 3,771,618,668.64
  5. Step 5: Solve for x
    x = 3,771,618,668.64/64,638
  6. Step 6: Final answer
    x = 58,349.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.