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Finding the Fourth Proportional to 35,929.49, 49,583.21 and 20,823.19

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Solution

The fourth proportional to 35,929.49, 49,583.21 and 20,823.19 is: 28,736.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,929.49 : 49,583.21 = 20,823.19 : x
  2. Step 2: Convert to fraction form
    35,929.49/49,583.21 = 20,823.19/x
  3. Step 3: Cross multiply
    35,929.49x = 49,583.21 × 20,823.19
  4. Step 4: Simplify right side
    35,929.49x = 1,032,480,374.57
  5. Step 5: Solve for x
    x = 1,032,480,374.57/35,929.49
  6. Step 6: Final answer
    x = 28,736.30

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