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Finding the Fourth Proportional to 105,526.92, 158,289.06 and 42,375

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Solution

The fourth proportional to 105,526.92, 158,289.06 and 42,375 is: 63,561.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,526.92 : 158,289.06 = 42,375 : x
  2. Step 2: Convert to fraction form
    105,526.92/158,289.06 = 42,375/x
  3. Step 3: Cross multiply
    105,526.92x = 158,289.06 × 42,375
  4. Step 4: Simplify right side
    105,526.92x = 6,707,498,917.50
  5. Step 5: Solve for x
    x = 6,707,498,917.50/105,526.92
  6. Step 6: Final answer
    x = 63,561.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.