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Finding the Fourth Proportional to 75,898.92, 104,746.50 and 44,077.80

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Solution

The fourth proportional to 75,898.92, 104,746.50 and 44,077.80 is: 60,830.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,898.92 : 104,746.50 = 44,077.80 : x
  2. Step 2: Convert to fraction form
    75,898.92/104,746.50 = 44,077.80/x
  3. Step 3: Cross multiply
    75,898.92x = 104,746.50 × 44,077.80
  4. Step 4: Simplify right side
    75,898.92x = 4,616,995,277.70
  5. Step 5: Solve for x
    x = 4,616,995,277.70/75,898.92
  6. Step 6: Final answer
    x = 60,830.84

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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.