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Finding the Fourth Proportional to 75,895.50, 104,737.44 and 41,903.88

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Solution

The fourth proportional to 75,895.50, 104,737.44 and 41,903.88 is: 57,828.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,895.50 : 104,737.44 = 41,903.88 : x
  2. Step 2: Convert to fraction form
    75,895.50/104,737.44 = 41,903.88/x
  3. Step 3: Cross multiply
    75,895.50x = 104,737.44 × 41,903.88
  4. Step 4: Simplify right side
    75,895.50x = 4,388,905,117.27
  5. Step 5: Solve for x
    x = 4,388,905,117.27/75,895.50
  6. Step 6: Final answer
    x = 57,828.27

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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.