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Finding the Fourth Proportional to 32,706.60, 49,132.80 and 31,378.20

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Solution

The fourth proportional to 32,706.60, 49,132.80 and 31,378.20 is: 47,137.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,706.60 : 49,132.80 = 31,378.20 : x
  2. Step 2: Convert to fraction form
    32,706.60/49,132.80 = 31,378.20/x
  3. Step 3: Cross multiply
    32,706.60x = 49,132.80 × 31,378.20
  4. Step 4: Simplify right side
    32,706.60x = 1,541,698,824.96
  5. Step 5: Solve for x
    x = 1,541,698,824.96/32,706.60
  6. Step 6: Final answer
    x = 47,137.24

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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.