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Finding the Fourth Proportional to 60,698.49, 83,764.68 and 35,205.93

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Solution

The fourth proportional to 60,698.49, 83,764.68 and 35,205.93 is: 48,584.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,698.49 : 83,764.68 = 35,205.93 : x
  2. Step 2: Convert to fraction form
    60,698.49/83,764.68 = 35,205.93/x
  3. Step 3: Cross multiply
    60,698.49x = 83,764.68 × 35,205.93
  4. Step 4: Simplify right side
    60,698.49x = 2,949,013,460.55
  5. Step 5: Solve for x
    x = 2,949,013,460.55/60,698.49
  6. Step 6: Final answer
    x = 48,584.63

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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.