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Finding the Fourth Proportional to 64,896.50, 97,344.84 and 15,648.50

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Solution

The fourth proportional to 64,896.50, 97,344.84 and 15,648.50 is: 23,472.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,896.50 : 97,344.84 = 15,648.50 : x
  2. Step 2: Convert to fraction form
    64,896.50/97,344.84 = 15,648.50/x
  3. Step 3: Cross multiply
    64,896.50x = 97,344.84 × 15,648.50
  4. Step 4: Simplify right side
    64,896.50x = 1,523,300,728.74
  5. Step 5: Solve for x
    x = 1,523,300,728.74/64,896.50
  6. Step 6: Final answer
    x = 23,472.77

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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.