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Finding the Fourth Proportional to 37,696.32, 52,019.64 and 21,779.28

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Solution

The fourth proportional to 37,696.32, 52,019.64 and 21,779.28 is: 30,054.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,696.32 : 52,019.64 = 21,779.28 : x
  2. Step 2: Convert to fraction form
    37,696.32/52,019.64 = 21,779.28/x
  3. Step 3: Cross multiply
    37,696.32x = 52,019.64 × 21,779.28
  4. Step 4: Simplify right side
    37,696.32x = 1,132,950,305.06
  5. Step 5: Solve for x
    x = 1,132,950,305.06/37,696.32
  6. Step 6: Final answer
    x = 30,054.67

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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.