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Finding the Fourth Proportional to 78,317.58, 108,078.30 and 42,507.54

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Solution

The fourth proportional to 78,317.58, 108,078.30 and 42,507.54 is: 58,660.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,317.58 : 108,078.30 = 42,507.54 : x
  2. Step 2: Convert to fraction form
    78,317.58/108,078.30 = 42,507.54/x
  3. Step 3: Cross multiply
    78,317.58x = 108,078.30 × 42,507.54
  4. Step 4: Simplify right side
    78,317.58x = 4,594,142,660.38
  5. Step 5: Solve for x
    x = 4,594,142,660.38/78,317.58
  6. Step 6: Final answer
    x = 58,660.43

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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.