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Finding the Fourth Proportional to 64,124.72, 96,177.36 and 22,562

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Solution

The fourth proportional to 64,124.72, 96,177.36 and 22,562 is: 33,839.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,124.72 : 96,177.36 = 22,562 : x
  2. Step 2: Convert to fraction form
    64,124.72/96,177.36 = 22,562/x
  3. Step 3: Cross multiply
    64,124.72x = 96,177.36 × 22,562
  4. Step 4: Simplify right side
    64,124.72x = 2,169,953,596.32
  5. Step 5: Solve for x
    x = 2,169,953,596.32/64,124.72
  6. Step 6: Final answer
    x = 33,839.58

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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.