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Finding the Fourth Proportional to 77,457.82, 116,191.06 and 22,049.50

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Solution

The fourth proportional to 77,457.82, 116,191.06 and 22,049.50 is: 33,075.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,457.82 : 116,191.06 = 22,049.50 : x
  2. Step 2: Convert to fraction form
    77,457.82/116,191.06 = 22,049.50/x
  3. Step 3: Cross multiply
    77,457.82x = 116,191.06 × 22,049.50
  4. Step 4: Simplify right side
    77,457.82x = 2,561,954,777.47
  5. Step 5: Solve for x
    x = 2,561,954,777.47/77,457.82
  6. Step 6: Final answer
    x = 33,075.48

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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.