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Finding the Fourth Proportional to 74,598.99, 111,850.32 and 31,932.24

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Solution

The fourth proportional to 74,598.99, 111,850.32 and 31,932.24 is: 47,877.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,598.99 : 111,850.32 = 31,932.24 : x
  2. Step 2: Convert to fraction form
    74,598.99/111,850.32 = 31,932.24/x
  3. Step 3: Cross multiply
    74,598.99x = 111,850.32 × 31,932.24
  4. Step 4: Simplify right side
    74,598.99x = 3,571,631,262.32
  5. Step 5: Solve for x
    x = 3,571,631,262.32/74,598.99
  6. Step 6: Final answer
    x = 47,877.74

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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.