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Finding the Fourth Proportional to 75,217.82, 103,786.98 and 48,354.17

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Solution

The fourth proportional to 75,217.82, 103,786.98 and 48,354.17 is: 66,720.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,217.82 : 103,786.98 = 48,354.17 : x
  2. Step 2: Convert to fraction form
    75,217.82/103,786.98 = 48,354.17/x
  3. Step 3: Cross multiply
    75,217.82x = 103,786.98 × 48,354.17
  4. Step 4: Simplify right side
    75,217.82x = 5,018,533,144.97
  5. Step 5: Solve for x
    x = 5,018,533,144.97/75,217.82
  6. Step 6: Final answer
    x = 66,720.00

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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.