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Finding the Fourth Proportional to 30,847.35, 42,569.36 and 16,700.20

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Solution

The fourth proportional to 30,847.35, 42,569.36 and 16,700.20 is: 23,046.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,847.35 : 42,569.36 = 16,700.20 : x
  2. Step 2: Convert to fraction form
    30,847.35/42,569.36 = 16,700.20/x
  3. Step 3: Cross multiply
    30,847.35x = 42,569.36 × 16,700.20
  4. Step 4: Simplify right side
    30,847.35x = 710,916,698.57
  5. Step 5: Solve for x
    x = 710,916,698.57/30,847.35
  6. Step 6: Final answer
    x = 23,046.28

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