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Finding the Fourth Proportional to 32,285.70, 48,420.84 and 13,566.09

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Solution

The fourth proportional to 32,285.70, 48,420.84 and 13,566.09 is: 20,345.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,285.70 : 48,420.84 = 13,566.09 : x
  2. Step 2: Convert to fraction form
    32,285.70/48,420.84 = 13,566.09/x
  3. Step 3: Cross multiply
    32,285.70x = 48,420.84 × 13,566.09
  4. Step 4: Simplify right side
    32,285.70x = 656,881,473.32
  5. Step 5: Solve for x
    x = 656,881,473.32/32,285.70
  6. Step 6: Final answer
    x = 20,345.90

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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.