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Finding the Fourth Proportional to 32,482.92, 48,725.82 and 9,108.84

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Solution

The fourth proportional to 32,482.92, 48,725.82 and 9,108.84 is: 13,663.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,482.92 : 48,725.82 = 9,108.84 : x
  2. Step 2: Convert to fraction form
    32,482.92/48,725.82 = 9,108.84/x
  3. Step 3: Cross multiply
    32,482.92x = 48,725.82 × 9,108.84
  4. Step 4: Simplify right side
    32,482.92x = 443,835,698.25
  5. Step 5: Solve for x
    x = 443,835,698.25/32,482.92
  6. Step 6: Final answer
    x = 13,663.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.