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Finding the Fourth Proportional to 78,493.83, 108,322.26 and 42,684.62

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Solution

The fourth proportional to 78,493.83, 108,322.26 and 42,684.62 is: 58,905.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,493.83 : 108,322.26 = 42,684.62 : x
  2. Step 2: Convert to fraction form
    78,493.83/108,322.26 = 42,684.62/x
  3. Step 3: Cross multiply
    78,493.83x = 108,322.26 × 42,684.62
  4. Step 4: Simplify right side
    78,493.83x = 4,623,694,653.38
  5. Step 5: Solve for x
    x = 4,623,694,653.38/78,493.83
  6. Step 6: Final answer
    x = 58,905.20

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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.