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Finding the Fourth Proportional to 46,850.88, 64,647.84 and 27,984

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Solution

The fourth proportional to 46,850.88, 64,647.84 and 27,984 is: 38,614.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,850.88 : 64,647.84 = 27,984 : x
  2. Step 2: Convert to fraction form
    46,850.88/64,647.84 = 27,984/x
  3. Step 3: Cross multiply
    46,850.88x = 64,647.84 × 27,984
  4. Step 4: Simplify right side
    46,850.88x = 1,809,105,154.56
  5. Step 5: Solve for x
    x = 1,809,105,154.56/46,850.88
  6. Step 6: Final answer
    x = 38,614.11

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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.