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Finding the Fourth Proportional to 68,526.48, 102,792.72 and 23,578.80

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Solution

The fourth proportional to 68,526.48, 102,792.72 and 23,578.80 is: 35,369.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,526.48 : 102,792.72 = 23,578.80 : x
  2. Step 2: Convert to fraction form
    68,526.48/102,792.72 = 23,578.80/x
  3. Step 3: Cross multiply
    68,526.48x = 102,792.72 × 23,578.80
  4. Step 4: Simplify right side
    68,526.48x = 2,423,728,986.34
  5. Step 5: Solve for x
    x = 2,423,728,986.34/68,526.48
  6. Step 6: Final answer
    x = 35,369.23

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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.