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Finding the Fourth Proportional to 105,309.01, 157,971.68 and 35,188.57

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Solution

The fourth proportional to 105,309.01, 157,971.68 and 35,188.57 is: 52,785.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,309.01 : 157,971.68 = 35,188.57 : x
  2. Step 2: Convert to fraction form
    105,309.01/157,971.68 = 35,188.57/x
  3. Step 3: Cross multiply
    105,309.01x = 157,971.68 × 35,188.57
  4. Step 4: Simplify right side
    105,309.01x = 5,558,797,343.75
  5. Step 5: Solve for x
    x = 5,558,797,343.75/105,309.01
  6. Step 6: Final answer
    x = 52,785.58

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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.