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Finding the Fourth Proportional to 75,200.88, 112,811.07 and 25,259.52

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Solution

The fourth proportional to 75,200.88, 112,811.07 and 25,259.52 is: 37,892.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,200.88 : 112,811.07 = 25,259.52 : x
  2. Step 2: Convert to fraction form
    75,200.88/112,811.07 = 25,259.52/x
  3. Step 3: Cross multiply
    75,200.88x = 112,811.07 × 25,259.52
  4. Step 4: Simplify right side
    75,200.88x = 2,849,553,478.89
  5. Step 5: Solve for x
    x = 2,849,553,478.89/75,200.88
  6. Step 6: Final answer
    x = 37,892.55

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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.