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Finding the Fourth Proportional to 32,000.49, 47,961.81 and 22,643.21

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Solution

The fourth proportional to 32,000.49, 47,961.81 and 22,643.21 is: 33,937.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,000.49 : 47,961.81 = 22,643.21 : x
  2. Step 2: Convert to fraction form
    32,000.49/47,961.81 = 22,643.21/x
  3. Step 3: Cross multiply
    32,000.49x = 47,961.81 × 22,643.21
  4. Step 4: Simplify right side
    32,000.49x = 1,086,009,096.00
  5. Step 5: Solve for x
    x = 1,086,009,096.00/32,000.49
  6. Step 6: Final answer
    x = 33,937.26

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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.