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Finding the Fourth Proportional to 117,251.82, 175,840.81 and 38,347.63

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Solution

The fourth proportional to 117,251.82, 175,840.81 and 38,347.63 is: 57,509.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,251.82 : 175,840.81 = 38,347.63 : x
  2. Step 2: Convert to fraction form
    117,251.82/175,840.81 = 38,347.63/x
  3. Step 3: Cross multiply
    117,251.82x = 175,840.81 × 38,347.63
  4. Step 4: Simplify right side
    117,251.82x = 6,743,077,785.31
  5. Step 5: Solve for x
    x = 6,743,077,785.31/117,251.82
  6. Step 6: Final answer
    x = 57,509.37

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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.