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Finding the Fourth Proportional to 46,963.74, 64,811.97 and 28,097.22

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Solution

The fourth proportional to 46,963.74, 64,811.97 and 28,097.22 is: 38,775.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,963.74 : 64,811.97 = 28,097.22 : x
  2. Step 2: Convert to fraction form
    46,963.74/64,811.97 = 28,097.22/x
  3. Step 3: Cross multiply
    46,963.74x = 64,811.97 × 28,097.22
  4. Step 4: Simplify right side
    46,963.74x = 1,821,036,179.72
  5. Step 5: Solve for x
    x = 1,821,036,179.72/46,963.74
  6. Step 6: Final answer
    x = 38,775.37

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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.