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Finding the Fourth Proportional to 32,133.76, 48,208.95 and 18,818

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Solution

The fourth proportional to 32,133.76, 48,208.95 and 18,818 is: 28,231.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,133.76 : 48,208.95 = 18,818 : x
  2. Step 2: Convert to fraction form
    32,133.76/48,208.95 = 18,818/x
  3. Step 3: Cross multiply
    32,133.76x = 48,208.95 × 18,818
  4. Step 4: Simplify right side
    32,133.76x = 907,196,021.10
  5. Step 5: Solve for x
    x = 907,196,021.10/32,133.76
  6. Step 6: Final answer
    x = 28,231.87

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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.