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Finding the Fourth Proportional to 32,530.80, 48,796.20 and 31,801.80

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Solution

The fourth proportional to 32,530.80, 48,796.20 and 31,801.80 is: 47,702.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,530.80 : 48,796.20 = 31,801.80 : x
  2. Step 2: Convert to fraction form
    32,530.80/48,796.20 = 31,801.80/x
  3. Step 3: Cross multiply
    32,530.80x = 48,796.20 × 31,801.80
  4. Step 4: Simplify right side
    32,530.80x = 1,551,806,993.16
  5. Step 5: Solve for x
    x = 1,551,806,993.16/32,530.80
  6. Step 6: Final answer
    x = 47,702.70

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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.