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Finding the Fourth Proportional to 35,929.50, 49,583.22 and 20,823.27

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Solution

The fourth proportional to 35,929.50, 49,583.22 and 20,823.27 is: 28,736.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,929.50 : 49,583.22 = 20,823.27 : x
  2. Step 2: Convert to fraction form
    35,929.50/49,583.22 = 20,823.27/x
  3. Step 3: Cross multiply
    35,929.50x = 49,583.22 × 20,823.27
  4. Step 4: Simplify right side
    35,929.50x = 1,032,484,777.53
  5. Step 5: Solve for x
    x = 1,032,484,777.53/35,929.50
  6. Step 6: Final answer
    x = 28,736.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.