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Finding the Fourth Proportional to 66,146.60, 99,233.56 and 21,776

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Solution

The fourth proportional to 66,146.60, 99,233.56 and 21,776 is: 32,668.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,146.60 : 99,233.56 = 21,776 : x
  2. Step 2: Convert to fraction form
    66,146.60/99,233.56 = 21,776/x
  3. Step 3: Cross multiply
    66,146.60x = 99,233.56 × 21,776
  4. Step 4: Simplify right side
    66,146.60x = 2,160,910,002.56
  5. Step 5: Solve for x
    x = 2,160,910,002.56/66,146.60
  6. Step 6: Final answer
    x = 32,668.50

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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.