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Finding the Fourth Proportional to 38,856.65, 53,622.25 and 22,942.12

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Solution

The fourth proportional to 38,856.65, 53,622.25 and 22,942.12 is: 31,660.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,856.65 : 53,622.25 = 22,942.12 : x
  2. Step 2: Convert to fraction form
    38,856.65/53,622.25 = 22,942.12/x
  3. Step 3: Cross multiply
    38,856.65x = 53,622.25 × 22,942.12
  4. Step 4: Simplify right side
    38,856.65x = 1,230,208,094.17
  5. Step 5: Solve for x
    x = 1,230,208,094.17/38,856.65
  6. Step 6: Final answer
    x = 31,660.17

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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.