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Finding the Fourth Proportional to 75,098.50, 103,639.20 and 41,564.50

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Solution

The fourth proportional to 75,098.50, 103,639.20 and 41,564.50 is: 57,360.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,098.50 : 103,639.20 = 41,564.50 : x
  2. Step 2: Convert to fraction form
    75,098.50/103,639.20 = 41,564.50/x
  3. Step 3: Cross multiply
    75,098.50x = 103,639.20 × 41,564.50
  4. Step 4: Simplify right side
    75,098.50x = 4,307,711,528.40
  5. Step 5: Solve for x
    x = 4,307,711,528.40/75,098.50
  6. Step 6: Final answer
    x = 57,360.82

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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.