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Finding the Fourth Proportional to 73,513.84, 110,254.20 and 20,922.16

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Solution

The fourth proportional to 73,513.84, 110,254.20 and 20,922.16 is: 31,378.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,513.84 : 110,254.20 = 20,922.16 : x
  2. Step 2: Convert to fraction form
    73,513.84/110,254.20 = 20,922.16/x
  3. Step 3: Cross multiply
    73,513.84x = 110,254.20 × 20,922.16
  4. Step 4: Simplify right side
    73,513.84x = 2,306,756,013.07
  5. Step 5: Solve for x
    x = 2,306,756,013.07/73,513.84
  6. Step 6: Final answer
    x = 31,378.53

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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.