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Finding the Fourth Proportional to 64,822.50, 97,233.75 and 21,046.50

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Solution

The fourth proportional to 64,822.50, 97,233.75 and 21,046.50 is: 31,569.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,822.50 : 97,233.75 = 21,046.50 : x
  2. Step 2: Convert to fraction form
    64,822.50/97,233.75 = 21,046.50/x
  3. Step 3: Cross multiply
    64,822.50x = 97,233.75 × 21,046.50
  4. Step 4: Simplify right side
    64,822.50x = 2,046,430,119.38
  5. Step 5: Solve for x
    x = 2,046,430,119.38/64,822.50
  6. Step 6: Final answer
    x = 31,569.75

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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.