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Finding the Fourth Proportional to 35,084, 48,455.16 and 27,221.60

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Solution

The fourth proportional to 35,084, 48,455.16 and 27,221.60 is: 37,596.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,084 : 48,455.16 = 27,221.60 : x
  2. Step 2: Convert to fraction form
    35,084/48,455.16 = 27,221.60/x
  3. Step 3: Cross multiply
    35,084x = 48,455.16 × 27,221.60
  4. Step 4: Simplify right side
    35,084x = 1,319,026,983.46
  5. Step 5: Solve for x
    x = 1,319,026,983.46/35,084
  6. Step 6: Final answer
    x = 37,596.25

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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.