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Finding the Fourth Proportional to 35,390.40, 48,829.92 and 22,800

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Solution

The fourth proportional to 35,390.40, 48,829.92 and 22,800 is: 31,458.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,390.40 : 48,829.92 = 22,800 : x
  2. Step 2: Convert to fraction form
    35,390.40/48,829.92 = 22,800/x
  3. Step 3: Cross multiply
    35,390.40x = 48,829.92 × 22,800
  4. Step 4: Simplify right side
    35,390.40x = 1,113,322,176
  5. Step 5: Solve for x
    x = 1,113,322,176/35,390.40
  6. Step 6: Final answer
    x = 31,458.31

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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.