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Finding the Fourth Proportional to 97,714.76, 146,572.34 and 23,842.76

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Solution

The fourth proportional to 97,714.76, 146,572.34 and 23,842.76 is: 35,764.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,714.76 : 146,572.34 = 23,842.76 : x
  2. Step 2: Convert to fraction form
    97,714.76/146,572.34 = 23,842.76/x
  3. Step 3: Cross multiply
    97,714.76x = 146,572.34 × 23,842.76
  4. Step 4: Simplify right side
    97,714.76x = 3,494,688,273.18
  5. Step 5: Solve for x
    x = 3,494,688,273.18/97,714.76
  6. Step 6: Final answer
    x = 35,764.18

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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.