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Finding the Fourth Proportional to 32,599.70, 48,965.19 and 31,680.98

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Solution

The fourth proportional to 32,599.70, 48,965.19 and 31,680.98 is: 47,585.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,599.70 : 48,965.19 = 31,680.98 : x
  2. Step 2: Convert to fraction form
    32,599.70/48,965.19 = 31,680.98/x
  3. Step 3: Cross multiply
    32,599.70x = 48,965.19 × 31,680.98
  4. Step 4: Simplify right side
    32,599.70x = 1,551,265,205.09
  5. Step 5: Solve for x
    x = 1,551,265,205.09/32,599.70
  6. Step 6: Final answer
    x = 47,585.26

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Why These Related Problems?

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