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Finding the Fourth Proportional to 38,499.84, 53,080.38 and 31,575.60

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Solution

The fourth proportional to 38,499.84, 53,080.38 and 31,575.60 is: 43,533.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,499.84 : 53,080.38 = 31,575.60 : x
  2. Step 2: Convert to fraction form
    38,499.84/53,080.38 = 31,575.60/x
  3. Step 3: Cross multiply
    38,499.84x = 53,080.38 × 31,575.60
  4. Step 4: Simplify right side
    38,499.84x = 1,676,044,846.73
  5. Step 5: Solve for x
    x = 1,676,044,846.73/38,499.84
  6. Step 6: Final answer
    x = 43,533.81

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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.