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Finding the Fourth Proportional to 105,108.36, 157,568.79 and 38,532.97

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Solution

The fourth proportional to 105,108.36, 157,568.79 and 38,532.97 is: 57,765.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,108.36 : 157,568.79 = 38,532.97 : x
  2. Step 2: Convert to fraction form
    105,108.36/157,568.79 = 38,532.97/x
  3. Step 3: Cross multiply
    105,108.36x = 157,568.79 × 38,532.97
  4. Step 4: Simplify right side
    105,108.36x = 6,071,592,913.14
  5. Step 5: Solve for x
    x = 6,071,592,913.14/105,108.36
  6. Step 6: Final answer
    x = 57,765.08

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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.