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Finding the Fourth Proportional to 32,600.32, 48,920 and 14,132.32

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Solution

The fourth proportional to 32,600.32, 48,920 and 14,132.32 is: 21,206.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,600.32 : 48,920 = 14,132.32 : x
  2. Step 2: Convert to fraction form
    32,600.32/48,920 = 14,132.32/x
  3. Step 3: Cross multiply
    32,600.32x = 48,920 × 14,132.32
  4. Step 4: Simplify right side
    32,600.32x = 691,353,094.40
  5. Step 5: Solve for x
    x = 691,353,094.40/32,600.32
  6. Step 6: Final answer
    x = 21,206.94

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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.