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Finding the Fourth Proportional to 117,460.32, 176,190.48 and 34,354.32

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Solution

The fourth proportional to 117,460.32, 176,190.48 and 34,354.32 is: 51,531.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,460.32 : 176,190.48 = 34,354.32 : x
  2. Step 2: Convert to fraction form
    117,460.32/176,190.48 = 34,354.32/x
  3. Step 3: Cross multiply
    117,460.32x = 176,190.48 × 34,354.32
  4. Step 4: Simplify right side
    117,460.32x = 6,052,904,130.87
  5. Step 5: Solve for x
    x = 6,052,904,130.87/117,460.32
  6. Step 6: Final answer
    x = 51,531.48

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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.