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Finding the Fourth Proportional to 69,729.66, 96,226.38 and 37,897.74

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Solution

The fourth proportional to 69,729.66, 96,226.38 and 37,897.74 is: 52,298.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,729.66 : 96,226.38 = 37,897.74 : x
  2. Step 2: Convert to fraction form
    69,729.66/96,226.38 = 37,897.74/x
  3. Step 3: Cross multiply
    69,729.66x = 96,226.38 × 37,897.74
  4. Step 4: Simplify right side
    69,729.66x = 3,646,762,330.38
  5. Step 5: Solve for x
    x = 3,646,762,330.38/69,729.66
  6. Step 6: Final answer
    x = 52,298.58

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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.