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Finding the Fourth Proportional to 64,206.72, 96,292.80 and 22,648.32

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Solution

The fourth proportional to 64,206.72, 96,292.80 and 22,648.32 is: 33,966.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,206.72 : 96,292.80 = 22,648.32 : x
  2. Step 2: Convert to fraction form
    64,206.72/96,292.80 = 22,648.32/x
  3. Step 3: Cross multiply
    64,206.72x = 96,292.80 × 22,648.32
  4. Step 4: Simplify right side
    64,206.72x = 2,180,870,148.10
  5. Step 5: Solve for x
    x = 2,180,870,148.10/64,206.72
  6. Step 6: Final answer
    x = 33,966.38

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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.