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Finding the Fourth Proportional to 33,077.76, 45,647.62 and 17,970.54

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Solution

The fourth proportional to 33,077.76, 45,647.62 and 17,970.54 is: 24,799.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,077.76 : 45,647.62 = 17,970.54 : x
  2. Step 2: Convert to fraction form
    33,077.76/45,647.62 = 17,970.54/x
  3. Step 3: Cross multiply
    33,077.76x = 45,647.62 × 17,970.54
  4. Step 4: Simplify right side
    33,077.76x = 820,312,381.11
  5. Step 5: Solve for x
    x = 820,312,381.11/33,077.76
  6. Step 6: Final answer
    x = 24,799.51

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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.