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Finding the Fourth Proportional to 32,031, 47,962.62 and 22,620.12

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Solution

The fourth proportional to 32,031, 47,962.62 and 22,620.12 is: 33,870.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,031 : 47,962.62 = 22,620.12 : x
  2. Step 2: Convert to fraction form
    32,031/47,962.62 = 22,620.12/x
  3. Step 3: Cross multiply
    32,031x = 47,962.62 × 22,620.12
  4. Step 4: Simplify right side
    32,031x = 1,084,920,219.91
  5. Step 5: Solve for x
    x = 1,084,920,219.91/32,031
  6. Step 6: Final answer
    x = 33,870.94

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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.