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Finding the Fourth Proportional to 34,628, 51,898.16 and 22,143.20

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Solution

The fourth proportional to 34,628, 51,898.16 and 22,143.20 is: 33,186.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,628 : 51,898.16 = 22,143.20 : x
  2. Step 2: Convert to fraction form
    34,628/51,898.16 = 22,143.20/x
  3. Step 3: Cross multiply
    34,628x = 51,898.16 × 22,143.20
  4. Step 4: Simplify right side
    34,628x = 1,149,191,336.51
  5. Step 5: Solve for x
    x = 1,149,191,336.51/34,628
  6. Step 6: Final answer
    x = 33,186.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.