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Finding the Fourth Proportional to 35,078.92, 48,400.94 and 20,929

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Solution

The fourth proportional to 35,078.92, 48,400.94 and 20,929 is: 28,877.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,078.92 : 48,400.94 = 20,929 : x
  2. Step 2: Convert to fraction form
    35,078.92/48,400.94 = 20,929/x
  3. Step 3: Cross multiply
    35,078.92x = 48,400.94 × 20,929
  4. Step 4: Simplify right side
    35,078.92x = 1,012,983,273.26
  5. Step 5: Solve for x
    x = 1,012,983,273.26/35,078.92
  6. Step 6: Final answer
    x = 28,877.27

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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.