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Finding the Fourth Proportional to 32,381.76, 44,525.28 and 27,657.60

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Solution

The fourth proportional to 32,381.76, 44,525.28 and 27,657.60 is: 38,029.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,381.76 : 44,525.28 = 27,657.60 : x
  2. Step 2: Convert to fraction form
    32,381.76/44,525.28 = 27,657.60/x
  3. Step 3: Cross multiply
    32,381.76x = 44,525.28 × 27,657.60
  4. Step 4: Simplify right side
    32,381.76x = 1,231,462,384.13
  5. Step 5: Solve for x
    x = 1,231,462,384.13/32,381.76
  6. Step 6: Final answer
    x = 38,029.51

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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.