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Finding the Fourth Proportional to 105,050, 157,486.62 and 48,861.56

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Solution

The fourth proportional to 105,050, 157,486.62 and 48,861.56 is: 73,251.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,050 : 157,486.62 = 48,861.56 : x
  2. Step 2: Convert to fraction form
    105,050/157,486.62 = 48,861.56/x
  3. Step 3: Cross multiply
    105,050x = 157,486.62 × 48,861.56
  4. Step 4: Simplify right side
    105,050x = 7,695,041,932.33
  5. Step 5: Solve for x
    x = 7,695,041,932.33/105,050
  6. Step 6: Final answer
    x = 73,251.23

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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.