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Finding the Fourth Proportional to 76,558.38, 105,656.22 and 42,573

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Solution

The fourth proportional to 76,558.38, 105,656.22 and 42,573 is: 58,753.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,558.38 : 105,656.22 = 42,573 : x
  2. Step 2: Convert to fraction form
    76,558.38/105,656.22 = 42,573/x
  3. Step 3: Cross multiply
    76,558.38x = 105,656.22 × 42,573
  4. Step 4: Simplify right side
    76,558.38x = 4,498,102,254.06
  5. Step 5: Solve for x
    x = 4,498,102,254.06/76,558.38
  6. Step 6: Final answer
    x = 58,753.88

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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.