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Finding the Fourth Proportional to 31,889.49, 47,832.60 and 9,702.39

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Solution

The fourth proportional to 31,889.49, 47,832.60 and 9,702.39 is: 14,553.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,889.49 : 47,832.60 = 9,702.39 : x
  2. Step 2: Convert to fraction form
    31,889.49/47,832.60 = 9,702.39/x
  3. Step 3: Cross multiply
    31,889.49x = 47,832.60 × 9,702.39
  4. Step 4: Simplify right side
    31,889.49x = 464,090,539.91
  5. Step 5: Solve for x
    x = 464,090,539.91/31,889.49
  6. Step 6: Final answer
    x = 14,553.09

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1.5x scale

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.