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Finding the Fourth Proportional to 30,628.34, 45,913.34 and 9,837.26

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Solution

The fourth proportional to 30,628.34, 45,913.34 and 9,837.26 is: 14,746.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,628.34 : 45,913.34 = 9,837.26 : x
  2. Step 2: Convert to fraction form
    30,628.34/45,913.34 = 9,837.26/x
  3. Step 3: Cross multiply
    30,628.34x = 45,913.34 × 9,837.26
  4. Step 4: Simplify right side
    30,628.34x = 451,661,463.05
  5. Step 5: Solve for x
    x = 451,661,463.05/30,628.34
  6. Step 6: Final answer
    x = 14,746.52

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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.