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Finding the Fourth Proportional to 64,864.96, 97,321.74 and 22,748.20

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Solution

The fourth proportional to 64,864.96, 97,321.74 and 22,748.20 is: 34,130.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,864.96 : 97,321.74 = 22,748.20 : x
  2. Step 2: Convert to fraction form
    64,864.96/97,321.74 = 22,748.20/x
  3. Step 3: Cross multiply
    64,864.96x = 97,321.74 × 22,748.20
  4. Step 4: Simplify right side
    64,864.96x = 2,213,894,405.87
  5. Step 5: Solve for x
    x = 2,213,894,405.87/64,864.96
  6. Step 6: Final answer
    x = 34,130.82

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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.