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Finding the Fourth Proportional to 73,503.24, 110,228.94 and 31,927.56

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Solution

The fourth proportional to 73,503.24, 110,228.94 and 31,927.56 is: 47,880.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,503.24 : 110,228.94 = 31,927.56 : x
  2. Step 2: Convert to fraction form
    73,503.24/110,228.94 = 31,927.56/x
  3. Step 3: Cross multiply
    73,503.24x = 110,228.94 × 31,927.56
  4. Step 4: Simplify right side
    73,503.24x = 3,519,341,095.59
  5. Step 5: Solve for x
    x = 3,519,341,095.59/73,503.24
  6. Step 6: Final answer
    x = 47,880.08

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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.