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Finding the Fourth Proportional to 30,847.40, 42,569.38 and 16,700.24

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Solution

The fourth proportional to 30,847.40, 42,569.38 and 16,700.24 is: 23,046.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,847.40 : 42,569.38 = 16,700.24 : x
  2. Step 2: Convert to fraction form
    30,847.40/42,569.38 = 16,700.24/x
  3. Step 3: Cross multiply
    30,847.40x = 42,569.38 × 16,700.24
  4. Step 4: Simplify right side
    30,847.40x = 710,918,649.80
  5. Step 5: Solve for x
    x = 710,918,649.80/30,847.40
  6. Step 6: Final answer
    x = 23,046.31

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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.