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Finding the Fourth Proportional to 32,410.76, 44,726.46 and 18,266

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Solution

The fourth proportional to 32,410.76, 44,726.46 and 18,266 is: 25,206.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,410.76 : 44,726.46 = 18,266 : x
  2. Step 2: Convert to fraction form
    32,410.76/44,726.46 = 18,266/x
  3. Step 3: Cross multiply
    32,410.76x = 44,726.46 × 18,266
  4. Step 4: Simplify right side
    32,410.76x = 816,973,518.36
  5. Step 5: Solve for x
    x = 816,973,518.36/32,410.76
  6. Step 6: Final answer
    x = 25,206.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.