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Finding the Fourth Proportional to 117,164.76, 175,752 and 34,058.76

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Solution

The fourth proportional to 117,164.76, 175,752 and 34,058.76 is: 51,089.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,164.76 : 175,752 = 34,058.76 : x
  2. Step 2: Convert to fraction form
    117,164.76/175,752 = 34,058.76/x
  3. Step 3: Cross multiply
    117,164.76x = 175,752 × 34,058.76
  4. Step 4: Simplify right side
    117,164.76x = 5,985,895,187.52
  5. Step 5: Solve for x
    x = 5,985,895,187.52/117,164.76
  6. Step 6: Final answer
    x = 51,089.55

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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.