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Finding the Fourth Proportional to 27,820.45, 41,823.02 and 25,765.89

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Solution

The fourth proportional to 27,820.45, 41,823.02 and 25,765.89 is: 38,734.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,820.45 : 41,823.02 = 25,765.89 : x
  2. Step 2: Convert to fraction form
    27,820.45/41,823.02 = 25,765.89/x
  3. Step 3: Cross multiply
    27,820.45x = 41,823.02 × 25,765.89
  4. Step 4: Simplify right side
    27,820.45x = 1,077,607,332.79
  5. Step 5: Solve for x
    x = 1,077,607,332.79/27,820.45
  6. Step 6: Final answer
    x = 38,734.36

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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.