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Finding the Fourth Proportional to 75,706.50, 113,525.15 and 28,286.81

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Solution

The fourth proportional to 75,706.50, 113,525.15 and 28,286.81 is: 42,417.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,706.50 : 113,525.15 = 28,286.81 : x
  2. Step 2: Convert to fraction form
    75,706.50/113,525.15 = 28,286.81/x
  3. Step 3: Cross multiply
    75,706.50x = 113,525.15 × 28,286.81
  4. Step 4: Simplify right side
    75,706.50x = 3,211,263,639.21
  5. Step 5: Solve for x
    x = 3,211,263,639.21/75,706.50
  6. Step 6: Final answer
    x = 42,417.28

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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.