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Finding the Fourth Proportional to 64,978.35, 89,671.62 and 38,140.22

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Solution

The fourth proportional to 64,978.35, 89,671.62 and 38,140.22 is: 52,634.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,978.35 : 89,671.62 = 38,140.22 : x
  2. Step 2: Convert to fraction form
    64,978.35/89,671.62 = 38,140.22/x
  3. Step 3: Cross multiply
    64,978.35x = 89,671.62 × 38,140.22
  4. Step 4: Simplify right side
    64,978.35x = 3,420,094,866.20
  5. Step 5: Solve for x
    x = 3,420,094,866.20/64,978.35
  6. Step 6: Final answer
    x = 52,634.38

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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.