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Finding the Fourth Proportional to 66,835.82, 100,258.66 and 22,462.26

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Solution

The fourth proportional to 66,835.82, 100,258.66 and 22,462.26 is: 33,695.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,835.82 : 100,258.66 = 22,462.26 : x
  2. Step 2: Convert to fraction form
    66,835.82/100,258.66 = 22,462.26/x
  3. Step 3: Cross multiply
    66,835.82x = 100,258.66 × 22,462.26
  4. Step 4: Simplify right side
    66,835.82x = 2,252,036,088.17
  5. Step 5: Solve for x
    x = 2,252,036,088.17/66,835.82
  6. Step 6: Final answer
    x = 33,695.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.