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Finding the Fourth Proportional to 75,706.93, 113,525.79 and 28,287.25

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Solution

The fourth proportional to 75,706.93, 113,525.79 and 28,287.25 is: 42,417.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,706.93 : 113,525.79 = 28,287.25 : x
  2. Step 2: Convert to fraction form
    75,706.93/113,525.79 = 28,287.25/x
  3. Step 3: Cross multiply
    75,706.93x = 113,525.79 × 28,287.25
  4. Step 4: Simplify right side
    75,706.93x = 3,211,332,403.18
  5. Step 5: Solve for x
    x = 3,211,332,403.18/75,706.93
  6. Step 6: Final answer
    x = 42,417.95

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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.