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Finding the Fourth Proportional to 48,520, 66,955.98 and 27,298

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Solution

The fourth proportional to 48,520, 66,955.98 and 27,298 is: 37,670.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,520 : 66,955.98 = 27,298 : x
  2. Step 2: Convert to fraction form
    48,520/66,955.98 = 27,298/x
  3. Step 3: Cross multiply
    48,520x = 66,955.98 × 27,298
  4. Step 4: Simplify right side
    48,520x = 1,827,764,342.04
  5. Step 5: Solve for x
    x = 1,827,764,342.04/48,520
  6. Step 6: Final answer
    x = 37,670.33

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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.