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Finding the Fourth Proportional to 106,593.77, 159,862.80 and 31,693.75

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Solution

The fourth proportional to 106,593.77, 159,862.80 and 31,693.75 is: 47,532.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,593.77 : 159,862.80 = 31,693.75 : x
  2. Step 2: Convert to fraction form
    106,593.77/159,862.80 = 31,693.75/x
  3. Step 3: Cross multiply
    106,593.77x = 159,862.80 × 31,693.75
  4. Step 4: Simplify right side
    106,593.77x = 5,066,650,818.19
  5. Step 5: Solve for x
    x = 5,066,650,818.19/106,593.77
  6. Step 6: Final answer
    x = 47,532.34

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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.