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Finding the Fourth Proportional to 30,225.50, 41,711.14 and 16,798.06

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Solution

The fourth proportional to 30,225.50, 41,711.14 and 16,798.06 is: 23,181.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,225.50 : 41,711.14 = 16,798.06 : x
  2. Step 2: Convert to fraction form
    30,225.50/41,711.14 = 16,798.06/x
  3. Step 3: Cross multiply
    30,225.50x = 41,711.14 × 16,798.06
  4. Step 4: Simplify right side
    30,225.50x = 700,666,232.39
  5. Step 5: Solve for x
    x = 700,666,232.39/30,225.50
  6. Step 6: Final answer
    x = 23,181.30

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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.