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Finding the Fourth Proportional to 115,108.46, 172,672.80 and 35,164.46

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Solution

The fourth proportional to 115,108.46, 172,672.80 and 35,164.46 is: 52,749.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,108.46 : 172,672.80 = 35,164.46 : x
  2. Step 2: Convert to fraction form
    115,108.46/172,672.80 = 35,164.46/x
  3. Step 3: Cross multiply
    115,108.46x = 172,672.80 × 35,164.46
  4. Step 4: Simplify right side
    115,108.46x = 6,071,946,068.50
  5. Step 5: Solve for x
    x = 6,071,946,068.50/115,108.46
  6. Step 6: Final answer
    x = 52,749.78

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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.