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Finding the Fourth Proportional to 74,468.52, 102,774.66 and 42,647.88

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Solution

The fourth proportional to 74,468.52, 102,774.66 and 42,647.88 is: 58,858.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,468.52 : 102,774.66 = 42,647.88 : x
  2. Step 2: Convert to fraction form
    74,468.52/102,774.66 = 42,647.88/x
  3. Step 3: Cross multiply
    74,468.52x = 102,774.66 × 42,647.88
  4. Step 4: Simplify right side
    74,468.52x = 4,383,121,366.72
  5. Step 5: Solve for x
    x = 4,383,121,366.72/74,468.52
  6. Step 6: Final answer
    x = 58,858.71

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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.