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Finding the Fourth Proportional to 30,813.53, 42,522.68 and 16,666.38

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Solution

The fourth proportional to 30,813.53, 42,522.68 and 16,666.38 is: 22,999.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,813.53 : 42,522.68 = 16,666.38 : x
  2. Step 2: Convert to fraction form
    30,813.53/42,522.68 = 16,666.38/x
  3. Step 3: Cross multiply
    30,813.53x = 42,522.68 × 16,666.38
  4. Step 4: Simplify right side
    30,813.53x = 708,698,847.55
  5. Step 5: Solve for x
    x = 708,698,847.55/30,813.53
  6. Step 6: Final answer
    x = 22,999.60

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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.