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Finding the Fourth Proportional to 75,200.99, 112,797.33 and 25,275.93

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Solution

The fourth proportional to 75,200.99, 112,797.33 and 25,275.93 is: 37,912.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,200.99 : 112,797.33 = 25,275.93 : x
  2. Step 2: Convert to fraction form
    75,200.99/112,797.33 = 25,275.93/x
  3. Step 3: Cross multiply
    75,200.99x = 112,797.33 × 25,275.93
  4. Step 4: Simplify right side
    75,200.99x = 2,851,057,417.27
  5. Step 5: Solve for x
    x = 2,851,057,417.27/75,200.99
  6. Step 6: Final answer
    x = 37,912.50

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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.