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Finding the Fourth Proportional to 31,820.93, 44,008.02 and 27,835.12

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Solution

The fourth proportional to 31,820.93, 44,008.02 and 27,835.12 is: 38,495.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,820.93 : 44,008.02 = 27,835.12 : x
  2. Step 2: Convert to fraction form
    31,820.93/44,008.02 = 27,835.12/x
  3. Step 3: Cross multiply
    31,820.93x = 44,008.02 × 27,835.12
  4. Step 4: Simplify right side
    31,820.93x = 1,224,968,297.62
  5. Step 5: Solve for x
    x = 1,224,968,297.62/31,820.93
  6. Step 6: Final answer
    x = 38,495.68

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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.