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Finding the Fourth Proportional to 75,116.50, 103,664.01 and 41,582.50

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Solution

The fourth proportional to 75,116.50, 103,664.01 and 41,582.50 is: 57,385.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,116.50 : 103,664.01 = 41,582.50 : x
  2. Step 2: Convert to fraction form
    75,116.50/103,664.01 = 41,582.50/x
  3. Step 3: Cross multiply
    75,116.50x = 103,664.01 × 41,582.50
  4. Step 4: Simplify right side
    75,116.50x = 4,310,608,695.83
  5. Step 5: Solve for x
    x = 4,310,608,695.83/75,116.50
  6. Step 6: Final answer
    x = 57,385.64

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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.