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Finding the Fourth Proportional to 32,054.58, 48,081.92 and 8,362.11

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Solution

The fourth proportional to 32,054.58, 48,081.92 and 8,362.11 is: 12,543.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,054.58 : 48,081.92 = 8,362.11 : x
  2. Step 2: Convert to fraction form
    32,054.58/48,081.92 = 8,362.11/x
  3. Step 3: Cross multiply
    32,054.58x = 48,081.92 × 8,362.11
  4. Step 4: Simplify right side
    32,054.58x = 402,066,262.24
  5. Step 5: Solve for x
    x = 402,066,262.24/32,054.58
  6. Step 6: Final answer
    x = 12,543.18

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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.