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Finding the Fourth Proportional to 30,649.38, 42,295.84 and 17,037.06

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Solution

The fourth proportional to 30,649.38, 42,295.84 and 17,037.06 is: 23,510.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,649.38 : 42,295.84 = 17,037.06 : x
  2. Step 2: Convert to fraction form
    30,649.38/42,295.84 = 17,037.06/x
  3. Step 3: Cross multiply
    30,649.38x = 42,295.84 × 17,037.06
  4. Step 4: Simplify right side
    30,649.38x = 720,596,763.83
  5. Step 5: Solve for x
    x = 720,596,763.83/30,649.38
  6. Step 6: Final answer
    x = 23,510.97

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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.