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Finding the Fourth Proportional to 32,155.48, 48,154.98 and 22,267

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Solution

The fourth proportional to 32,155.48, 48,154.98 and 22,267 is: 33,346.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,155.48 : 48,154.98 = 22,267 : x
  2. Step 2: Convert to fraction form
    32,155.48/48,154.98 = 22,267/x
  3. Step 3: Cross multiply
    32,155.48x = 48,154.98 × 22,267
  4. Step 4: Simplify right side
    32,155.48x = 1,072,266,939.66
  5. Step 5: Solve for x
    x = 1,072,266,939.66/32,155.48
  6. Step 6: Final answer
    x = 33,346.32

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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.