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Finding the Fourth Proportional to 64,859.96, 97,314.24 and 22,743.20

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Solution

The fourth proportional to 64,859.96, 97,314.24 and 22,743.20 is: 34,123.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,859.96 : 97,314.24 = 22,743.20 : x
  2. Step 2: Convert to fraction form
    64,859.96/97,314.24 = 22,743.20/x
  3. Step 3: Cross multiply
    64,859.96x = 97,314.24 × 22,743.20
  4. Step 4: Simplify right side
    64,859.96x = 2,213,237,223.17
  5. Step 5: Solve for x
    x = 2,213,237,223.17/64,859.96
  6. Step 6: Final answer
    x = 34,123.32

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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.