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Finding the Fourth Proportional to 64,185, 96,291 and 24,203.22

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Solution

The fourth proportional to 64,185, 96,291 and 24,203.22 is: 36,309.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,185 : 96,291 = 24,203.22 : x
  2. Step 2: Convert to fraction form
    64,185/96,291 = 24,203.22/x
  3. Step 3: Cross multiply
    64,185x = 96,291 × 24,203.22
  4. Step 4: Simplify right side
    64,185x = 2,330,552,257.02
  5. Step 5: Solve for x
    x = 2,330,552,257.02/64,185
  6. Step 6: Final answer
    x = 36,309.92

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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.