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Finding the Fourth Proportional to 47,873.96, 66,068 and 27,730.52

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Solution

The fourth proportional to 47,873.96, 66,068 and 27,730.52 is: 38,269.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,873.96 : 66,068 = 27,730.52 : x
  2. Step 2: Convert to fraction form
    47,873.96/66,068 = 27,730.52/x
  3. Step 3: Cross multiply
    47,873.96x = 66,068 × 27,730.52
  4. Step 4: Simplify right side
    47,873.96x = 1,832,099,995.36
  5. Step 5: Solve for x
    x = 1,832,099,995.36/47,873.96
  6. Step 6: Final answer
    x = 38,269.24

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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.