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Finding the Fourth Proportional to 69,146.84, 103,636.02 and 35,848.55

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Solution

The fourth proportional to 69,146.84, 103,636.02 and 35,848.55 is: 53,729.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,146.84 : 103,636.02 = 35,848.55 : x
  2. Step 2: Convert to fraction form
    69,146.84/103,636.02 = 35,848.55/x
  3. Step 3: Cross multiply
    69,146.84x = 103,636.02 × 35,848.55
  4. Step 4: Simplify right side
    69,146.84x = 3,715,201,044.77
  5. Step 5: Solve for x
    x = 3,715,201,044.77/69,146.84
  6. Step 6: Final answer
    x = 53,729.15

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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.