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Finding the Fourth Proportional to 66,684.96, 100,032.80 and 22,312

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Solution

The fourth proportional to 66,684.96, 100,032.80 and 22,312 is: 33,469.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,684.96 : 100,032.80 = 22,312 : x
  2. Step 2: Convert to fraction form
    66,684.96/100,032.80 = 22,312/x
  3. Step 3: Cross multiply
    66,684.96x = 100,032.80 × 22,312
  4. Step 4: Simplify right side
    66,684.96x = 2,231,931,833.60
  5. Step 5: Solve for x
    x = 2,231,931,833.60/66,684.96
  6. Step 6: Final answer
    x = 33,469.79

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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.