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Finding the Fourth Proportional to 45,221.64, 62,333.95 and 35,646

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Solution

The fourth proportional to 45,221.64, 62,333.95 and 35,646 is: 49,134.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,221.64 : 62,333.95 = 35,646 : x
  2. Step 2: Convert to fraction form
    45,221.64/62,333.95 = 35,646/x
  3. Step 3: Cross multiply
    45,221.64x = 62,333.95 × 35,646
  4. Step 4: Simplify right side
    45,221.64x = 2,221,955,981.70
  5. Step 5: Solve for x
    x = 2,221,955,981.70/45,221.64
  6. Step 6: Final answer
    x = 49,134.79

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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.