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Finding the Fourth Proportional to 32,084.59, 48,135.08 and 12,357.85

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Solution

The fourth proportional to 32,084.59, 48,135.08 and 12,357.85 is: 18,539.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,084.59 : 48,135.08 = 12,357.85 : x
  2. Step 2: Convert to fraction form
    32,084.59/48,135.08 = 12,357.85/x
  3. Step 3: Cross multiply
    32,084.59x = 48,135.08 × 12,357.85
  4. Step 4: Simplify right side
    32,084.59x = 594,846,008.93
  5. Step 5: Solve for x
    x = 594,846,008.93/32,084.59
  6. Step 6: Final answer
    x = 18,539.93

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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.