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Finding the Fourth Proportional to 35,705.49, 53,564.31 and 12,326.46

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Solution

The fourth proportional to 35,705.49, 53,564.31 and 12,326.46 is: 18,491.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,705.49 : 53,564.31 = 12,326.46 : x
  2. Step 2: Convert to fraction form
    35,705.49/53,564.31 = 12,326.46/x
  3. Step 3: Cross multiply
    35,705.49x = 53,564.31 × 12,326.46
  4. Step 4: Simplify right side
    35,705.49x = 660,258,324.64
  5. Step 5: Solve for x
    x = 660,258,324.64/35,705.49
  6. Step 6: Final answer
    x = 18,491.79

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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.