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Finding the Fourth Proportional to 105,125.92, 157,709.63 and 38,566.60

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Solution

The fourth proportional to 105,125.92, 157,709.63 and 38,566.60 is: 57,857.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,125.92 : 157,709.63 = 38,566.60 : x
  2. Step 2: Convert to fraction form
    105,125.92/157,709.63 = 38,566.60/x
  3. Step 3: Cross multiply
    105,125.92x = 157,709.63 × 38,566.60
  4. Step 4: Simplify right side
    105,125.92x = 6,082,324,216.36
  5. Step 5: Solve for x
    x = 6,082,324,216.36/105,125.92
  6. Step 6: Final answer
    x = 57,857.51

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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.