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Finding the Fourth Proportional to 48,364.80, 66,735 and 27,144.96

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Solution

The fourth proportional to 48,364.80, 66,735 and 27,144.96 is: 37,455.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,364.80 : 66,735 = 27,144.96 : x
  2. Step 2: Convert to fraction form
    48,364.80/66,735 = 27,144.96/x
  3. Step 3: Cross multiply
    48,364.80x = 66,735 × 27,144.96
  4. Step 4: Simplify right side
    48,364.80x = 1,811,518,905.60
  5. Step 5: Solve for x
    x = 1,811,518,905.60/48,364.80
  6. Step 6: Final answer
    x = 37,455.32

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1.5x scale

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.