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Finding the Fourth Proportional to 30,813.70, 42,522.86 and 16,666.50

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Solution

The fourth proportional to 30,813.70, 42,522.86 and 16,666.50 is: 22,999.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,813.70 : 42,522.86 = 16,666.50 : x
  2. Step 2: Convert to fraction form
    30,813.70/42,522.86 = 16,666.50/x
  3. Step 3: Cross multiply
    30,813.70x = 42,522.86 × 16,666.50
  4. Step 4: Simplify right side
    30,813.70x = 708,707,246.19
  5. Step 5: Solve for x
    x = 708,707,246.19/30,813.70
  6. Step 6: Final answer
    x = 22,999.75

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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.