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Finding the Fourth Proportional to 64,897.47, 97,351.67 and 20,523.24

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Solution

The fourth proportional to 64,897.47, 97,351.67 and 20,523.24 is: 30,786.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,897.47 : 97,351.67 = 20,523.24 : x
  2. Step 2: Convert to fraction form
    64,897.47/97,351.67 = 20,523.24/x
  3. Step 3: Cross multiply
    64,897.47x = 97,351.67 × 20,523.24
  4. Step 4: Simplify right side
    64,897.47x = 1,997,971,739.12
  5. Step 5: Solve for x
    x = 1,997,971,739.12/64,897.47
  6. Step 6: Final answer
    x = 30,786.59

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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.