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Finding the Fourth Proportional to 73,987.61, 102,022.58 and 47,095.71

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Solution

The fourth proportional to 73,987.61, 102,022.58 and 47,095.71 is: 64,940.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,987.61 : 102,022.58 = 47,095.71 : x
  2. Step 2: Convert to fraction form
    73,987.61/102,022.58 = 47,095.71/x
  3. Step 3: Cross multiply
    73,987.61x = 102,022.58 × 47,095.71
  4. Step 4: Simplify right side
    73,987.61x = 4,804,825,958.87
  5. Step 5: Solve for x
    x = 4,804,825,958.87/73,987.61
  6. Step 6: Final answer
    x = 64,940.95

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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.