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Finding the Fourth Proportional to 51,702.67, 71,347.80 and 31,593.21

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Solution

The fourth proportional to 51,702.67, 71,347.80 and 31,593.21 is: 43,597.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,702.67 : 71,347.80 = 31,593.21 : x
  2. Step 2: Convert to fraction form
    51,702.67/71,347.80 = 31,593.21/x
  3. Step 3: Cross multiply
    51,702.67x = 71,347.80 × 31,593.21
  4. Step 4: Simplify right side
    51,702.67x = 2,254,106,028.44
  5. Step 5: Solve for x
    x = 2,254,106,028.44/51,702.67
  6. Step 6: Final answer
    x = 43,597.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.