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Finding the Fourth Proportional to 102,642.96, 153,968.68 and 35,221.34

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Solution

The fourth proportional to 102,642.96, 153,968.68 and 35,221.34 is: 52,833.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,642.96 : 153,968.68 = 35,221.34 : x
  2. Step 2: Convert to fraction form
    102,642.96/153,968.68 = 35,221.34/x
  3. Step 3: Cross multiply
    102,642.96x = 153,968.68 × 35,221.34
  4. Step 4: Simplify right side
    102,642.96x = 5,422,983,227.63
  5. Step 5: Solve for x
    x = 5,422,983,227.63/102,642.96
  6. Step 6: Final answer
    x = 52,833.46

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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.