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Finding the Fourth Proportional to 64,342.50, 96,552.63 and 27,406.50

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Solution

The fourth proportional to 64,342.50, 96,552.63 and 27,406.50 is: 41,126.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,342.50 : 96,552.63 = 27,406.50 : x
  2. Step 2: Convert to fraction form
    64,342.50/96,552.63 = 27,406.50/x
  3. Step 3: Cross multiply
    64,342.50x = 96,552.63 × 27,406.50
  4. Step 4: Simplify right side
    64,342.50x = 2,646,169,654.10
  5. Step 5: Solve for x
    x = 2,646,169,654.10/64,342.50
  6. Step 6: Final answer
    x = 41,126.31

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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.