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Finding the Fourth Proportional to 64,688.64, 97,002.24 and 22,563.61

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Solution

The fourth proportional to 64,688.64, 97,002.24 and 22,563.61 is: 33,834.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,688.64 : 97,002.24 = 22,563.61 : x
  2. Step 2: Convert to fraction form
    64,688.64/97,002.24 = 22,563.61/x
  3. Step 3: Cross multiply
    64,688.64x = 97,002.24 × 22,563.61
  4. Step 4: Simplify right side
    64,688.64x = 2,188,720,712.49
  5. Step 5: Solve for x
    x = 2,188,720,712.49/64,688.64
  6. Step 6: Final answer
    x = 33,834.70

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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.