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Finding the Fourth Proportional to 65,913.17, 90,959.65 and 35,697.80

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Solution

The fourth proportional to 65,913.17, 90,959.65 and 35,697.80 is: 49,262.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,913.17 : 90,959.65 = 35,697.80 : x
  2. Step 2: Convert to fraction form
    65,913.17/90,959.65 = 35,697.80/x
  3. Step 3: Cross multiply
    65,913.17x = 90,959.65 × 35,697.80
  4. Step 4: Simplify right side
    65,913.17x = 3,247,059,393.77
  5. Step 5: Solve for x
    x = 3,247,059,393.77/65,913.17
  6. Step 6: Final answer
    x = 49,262.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.