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Finding the Fourth Proportional to 64,896.24, 97,343.71 and 20,523

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Solution

The fourth proportional to 64,896.24, 97,343.71 and 20,523 is: 30,784.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,896.24 : 97,343.71 = 20,523 : x
  2. Step 2: Convert to fraction form
    64,896.24/97,343.71 = 20,523/x
  3. Step 3: Cross multiply
    64,896.24x = 97,343.71 × 20,523
  4. Step 4: Simplify right side
    64,896.24x = 1,997,784,985.98
  5. Step 5: Solve for x
    x = 1,997,784,985.98/64,896.24
  6. Step 6: Final answer
    x = 30,784.29

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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.