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Finding the Fourth Proportional to 32,810, 49,215 and 10,641.92

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Solution

The fourth proportional to 32,810, 49,215 and 10,641.92 is: 15,962.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,810 : 49,215 = 10,641.92 : x
  2. Step 2: Convert to fraction form
    32,810/49,215 = 10,641.92/x
  3. Step 3: Cross multiply
    32,810x = 49,215 × 10,641.92
  4. Step 4: Simplify right side
    32,810x = 523,742,092.80
  5. Step 5: Solve for x
    x = 523,742,092.80/32,810
  6. Step 6: Final answer
    x = 15,962.88

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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.