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Finding the Fourth Proportional to 64,822.75, 97,234.13 and 21,046.75

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Solution

The fourth proportional to 64,822.75, 97,234.13 and 21,046.75 is: 31,570.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,822.75 : 97,234.13 = 21,046.75 : x
  2. Step 2: Convert to fraction form
    64,822.75/97,234.13 = 21,046.75/x
  3. Step 3: Cross multiply
    64,822.75x = 97,234.13 × 21,046.75
  4. Step 4: Simplify right side
    64,822.75x = 2,046,462,320.34
  5. Step 5: Solve for x
    x = 2,046,462,320.34/64,822.75
  6. Step 6: Final answer
    x = 31,570.13

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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.