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Finding the Fourth Proportional to 30,771.97, 42,465.27 and 16,624.77

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Solution

The fourth proportional to 30,771.97, 42,465.27 and 16,624.77 is: 22,942.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,771.97 : 42,465.27 = 16,624.77 : x
  2. Step 2: Convert to fraction form
    30,771.97/42,465.27 = 16,624.77/x
  3. Step 3: Cross multiply
    30,771.97x = 42,465.27 × 16,624.77
  4. Step 4: Simplify right side
    30,771.97x = 705,975,263.61
  5. Step 5: Solve for x
    x = 705,975,263.61/30,771.97
  6. Step 6: Final answer
    x = 22,942.15

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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.