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Finding the Fourth Proportional to 117,156.48, 175,752.32 and 34,039.68

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Solution

The fourth proportional to 117,156.48, 175,752.32 and 34,039.68 is: 51,064.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,156.48 : 175,752.32 = 34,039.68 : x
  2. Step 2: Convert to fraction form
    117,156.48/175,752.32 = 34,039.68/x
  3. Step 3: Cross multiply
    117,156.48x = 175,752.32 × 34,039.68
  4. Step 4: Simplify right side
    117,156.48x = 5,982,552,732.06
  5. Step 5: Solve for x
    x = 5,982,552,732.06/117,156.48
  6. Step 6: Final answer
    x = 51,064.63

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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.