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Finding the Fourth Proportional to 30,847.88, 42,569.88 and 16,700.69

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Solution

The fourth proportional to 30,847.88, 42,569.88 and 16,700.69 is: 23,046.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,847.88 : 42,569.88 = 16,700.69 : x
  2. Step 2: Convert to fraction form
    30,847.88/42,569.88 = 16,700.69/x
  3. Step 3: Cross multiply
    30,847.88x = 42,569.88 × 16,700.69
  4. Step 4: Simplify right side
    30,847.88x = 710,946,369.22
  5. Step 5: Solve for x
    x = 710,946,369.22/30,847.88
  6. Step 6: Final answer
    x = 23,046.85

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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.