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Finding the Fourth Proportional to 64,154.31, 96,229.85 and 17,405.97

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Solution

The fourth proportional to 64,154.31, 96,229.85 and 17,405.97 is: 26,108.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,154.31 : 96,229.85 = 17,405.97 : x
  2. Step 2: Convert to fraction form
    64,154.31/96,229.85 = 17,405.97/x
  3. Step 3: Cross multiply
    64,154.31x = 96,229.85 × 17,405.97
  4. Step 4: Simplify right side
    64,154.31x = 1,674,973,795.17
  5. Step 5: Solve for x
    x = 1,674,973,795.17/64,154.31
  6. Step 6: Final answer
    x = 26,108.52

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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.