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Finding the Fourth Proportional to 32,000.20, 47,978.70 and 17,009.80

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Solution

The fourth proportional to 32,000.20, 47,978.70 and 17,009.80 is: 25,503.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,000.20 : 47,978.70 = 17,009.80 : x
  2. Step 2: Convert to fraction form
    32,000.20/47,978.70 = 17,009.80/x
  3. Step 3: Cross multiply
    32,000.20x = 47,978.70 × 17,009.80
  4. Step 4: Simplify right side
    32,000.20x = 816,108,091.26
  5. Step 5: Solve for x
    x = 816,108,091.26/32,000.20
  6. Step 6: Final answer
    x = 25,503.22

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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.