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Finding the Fourth Proportional to 75,957.96, 104,778.18 and 45,722.28

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Solution

The fourth proportional to 75,957.96, 104,778.18 and 45,722.28 is: 63,070.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,957.96 : 104,778.18 = 45,722.28 : x
  2. Step 2: Convert to fraction form
    75,957.96/104,778.18 = 45,722.28/x
  3. Step 3: Cross multiply
    75,957.96x = 104,778.18 × 45,722.28
  4. Step 4: Simplify right side
    75,957.96x = 4,790,697,283.85
  5. Step 5: Solve for x
    x = 4,790,697,283.85/75,957.96
  6. Step 6: Final answer
    x = 63,070.38

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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.