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Finding the Fourth Proportional to 73,324.80, 109,792.80 and 57,772.80

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Solution

The fourth proportional to 73,324.80, 109,792.80 and 57,772.80 is: 86,506.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,324.80 : 109,792.80 = 57,772.80 : x
  2. Step 2: Convert to fraction form
    73,324.80/109,792.80 = 57,772.80/x
  3. Step 3: Cross multiply
    73,324.80x = 109,792.80 × 57,772.80
  4. Step 4: Simplify right side
    73,324.80x = 6,343,037,475.84
  5. Step 5: Solve for x
    x = 6,343,037,475.84/73,324.80
  6. Step 6: Final answer
    x = 86,506.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.