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Finding the Fourth Proportional to 67,703.48, 93,441.12 and 42,214

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Solution

The fourth proportional to 67,703.48, 93,441.12 and 42,214 is: 58,261.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,703.48 : 93,441.12 = 42,214 : x
  2. Step 2: Convert to fraction form
    67,703.48/93,441.12 = 42,214/x
  3. Step 3: Cross multiply
    67,703.48x = 93,441.12 × 42,214
  4. Step 4: Simplify right side
    67,703.48x = 3,944,523,439.68
  5. Step 5: Solve for x
    x = 3,944,523,439.68/67,703.48
  6. Step 6: Final answer
    x = 58,261.75

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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.