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Finding the Fourth Proportional to 73,303.94, 109,878.96 and 31,174.22

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Solution

The fourth proportional to 73,303.94, 109,878.96 and 31,174.22 is: 46,728.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,303.94 : 109,878.96 = 31,174.22 : x
  2. Step 2: Convert to fraction form
    73,303.94/109,878.96 = 31,174.22/x
  3. Step 3: Cross multiply
    73,303.94x = 109,878.96 × 31,174.22
  4. Step 4: Simplify right side
    73,303.94x = 3,425,390,872.41
  5. Step 5: Solve for x
    x = 3,425,390,872.41/73,303.94
  6. Step 6: Final answer
    x = 46,728.61

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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.