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Finding the Fourth Proportional to 64,532.16, 96,798.24 and 22,979.16

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Solution

The fourth proportional to 64,532.16, 96,798.24 and 22,979.16 is: 34,468.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,532.16 : 96,798.24 = 22,979.16 : x
  2. Step 2: Convert to fraction form
    64,532.16/96,798.24 = 22,979.16/x
  3. Step 3: Cross multiply
    64,532.16x = 96,798.24 × 22,979.16
  4. Step 4: Simplify right side
    64,532.16x = 2,224,342,244.68
  5. Step 5: Solve for x
    x = 2,224,342,244.68/64,532.16
  6. Step 6: Final answer
    x = 34,468.74

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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.