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Finding the Fourth Proportional to 32,617.66, 49,148.70 and 26,824.34

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Solution

The fourth proportional to 32,617.66, 49,148.70 and 26,824.34 is: 40,419.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,617.66 : 49,148.70 = 26,824.34 : x
  2. Step 2: Convert to fraction form
    32,617.66/49,148.70 = 26,824.34/x
  3. Step 3: Cross multiply
    32,617.66x = 49,148.70 × 26,824.34
  4. Step 4: Simplify right side
    32,617.66x = 1,318,381,439.36
  5. Step 5: Solve for x
    x = 1,318,381,439.36/32,617.66
  6. Step 6: Final answer
    x = 40,419.25

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.