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Finding the Fourth Proportional to 73,102.94, 100,898.04 and 46,281.20

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Solution

The fourth proportional to 73,102.94, 100,898.04 and 46,281.20 is: 63,878.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,102.94 : 100,898.04 = 46,281.20 : x
  2. Step 2: Convert to fraction form
    73,102.94/100,898.04 = 46,281.20/x
  3. Step 3: Cross multiply
    73,102.94x = 100,898.04 × 46,281.20
  4. Step 4: Simplify right side
    73,102.94x = 4,669,682,137.44
  5. Step 5: Solve for x
    x = 4,669,682,137.44/73,102.94
  6. Step 6: Final answer
    x = 63,878.18

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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.