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Finding the Fourth Proportional to 46,839, 64,615.16 and 27,713.56

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Solution

The fourth proportional to 46,839, 64,615.16 and 27,713.56 is: 38,231.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,839 : 64,615.16 = 27,713.56 : x
  2. Step 2: Convert to fraction form
    46,839/64,615.16 = 27,713.56/x
  3. Step 3: Cross multiply
    46,839x = 64,615.16 × 27,713.56
  4. Step 4: Simplify right side
    46,839x = 1,790,716,113.57
  5. Step 5: Solve for x
    x = 1,790,716,113.57/46,839
  6. Step 6: Final answer
    x = 38,231.31

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1.5x scale

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.