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Finding the Fourth Proportional to 30,166.17, 45,264.33 and 13,538.09

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Solution

The fourth proportional to 30,166.17, 45,264.33 and 13,538.09 is: 20,313.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,166.17 : 45,264.33 = 13,538.09 : x
  2. Step 2: Convert to fraction form
    30,166.17/45,264.33 = 13,538.09/x
  3. Step 3: Cross multiply
    30,166.17x = 45,264.33 × 13,538.09
  4. Step 4: Simplify right side
    30,166.17x = 612,792,347.01
  5. Step 5: Solve for x
    x = 612,792,347.01/30,166.17
  6. Step 6: Final answer
    x = 20,313.89

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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.