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Finding the Fourth Proportional to 75,259.84, 112,819.12 and 25,305

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Solution

The fourth proportional to 75,259.84, 112,819.12 and 25,305 is: 37,933.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,259.84 : 112,819.12 = 25,305 : x
  2. Step 2: Convert to fraction form
    75,259.84/112,819.12 = 25,305/x
  3. Step 3: Cross multiply
    75,259.84x = 112,819.12 × 25,305
  4. Step 4: Simplify right side
    75,259.84x = 2,854,887,831.60
  5. Step 5: Solve for x
    x = 2,854,887,831.60/75,259.84
  6. Step 6: Final answer
    x = 37,933.75

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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.