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Finding the Fourth Proportional to 30,771.76, 42,465.08 and 16,624.61

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Solution

The fourth proportional to 30,771.76, 42,465.08 and 16,624.61 is: 22,941.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,771.76 : 42,465.08 = 16,624.61 : x
  2. Step 2: Convert to fraction form
    30,771.76/42,465.08 = 16,624.61/x
  3. Step 3: Cross multiply
    30,771.76x = 42,465.08 × 16,624.61
  4. Step 4: Simplify right side
    30,771.76x = 705,965,393.62
  5. Step 5: Solve for x
    x = 705,965,393.62/30,771.76
  6. Step 6: Final answer
    x = 22,941.99

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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.