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Finding the Fourth Proportional to 69,836, 104,818.80 and 32,416.16

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Solution

The fourth proportional to 69,836, 104,818.80 and 32,416.16 is: 48,654.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,836 : 104,818.80 = 32,416.16 : x
  2. Step 2: Convert to fraction form
    69,836/104,818.80 = 32,416.16/x
  3. Step 3: Cross multiply
    69,836x = 104,818.80 × 32,416.16
  4. Step 4: Simplify right side
    69,836x = 3,397,822,991.81
  5. Step 5: Solve for x
    x = 3,397,822,991.81/69,836
  6. Step 6: Final answer
    x = 48,654.32

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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.