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Finding the Fourth Proportional to 32,327.16, 48,482.64 and 22,939.80

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Solution

The fourth proportional to 32,327.16, 48,482.64 and 22,939.80 is: 34,403.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,327.16 : 48,482.64 = 22,939.80 : x
  2. Step 2: Convert to fraction form
    32,327.16/48,482.64 = 22,939.80/x
  3. Step 3: Cross multiply
    32,327.16x = 48,482.64 × 22,939.80
  4. Step 4: Simplify right side
    32,327.16x = 1,112,182,065.07
  5. Step 5: Solve for x
    x = 1,112,182,065.07/32,327.16
  6. Step 6: Final answer
    x = 34,403.95

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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.