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Finding the Fourth Proportional to 75,868.96, 104,674.80 and 42,328.48

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Solution

The fourth proportional to 75,868.96, 104,674.80 and 42,328.48 is: 58,399.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,868.96 : 104,674.80 = 42,328.48 : x
  2. Step 2: Convert to fraction form
    75,868.96/104,674.80 = 42,328.48/x
  3. Step 3: Cross multiply
    75,868.96x = 104,674.80 × 42,328.48
  4. Step 4: Simplify right side
    75,868.96x = 4,430,725,178.30
  5. Step 5: Solve for x
    x = 4,430,725,178.30/75,868.96
  6. Step 6: Final answer
    x = 58,399.71

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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.