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Finding the Fourth Proportional to 75,052.76, 112,569.42 and 28,299.56

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Solution

The fourth proportional to 75,052.76, 112,569.42 and 28,299.56 is: 42,445.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,052.76 : 112,569.42 = 28,299.56 : x
  2. Step 2: Convert to fraction form
    75,052.76/112,569.42 = 28,299.56/x
  3. Step 3: Cross multiply
    75,052.76x = 112,569.42 × 28,299.56
  4. Step 4: Simplify right side
    75,052.76x = 3,185,665,336.88
  5. Step 5: Solve for x
    x = 3,185,665,336.88/75,052.76
  6. Step 6: Final answer
    x = 42,445.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.