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Finding the Fourth Proportional to 46,694.28, 64,448.16 and 27,567

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Solution

The fourth proportional to 46,694.28, 64,448.16 and 27,567 is: 38,048.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,694.28 : 64,448.16 = 27,567 : x
  2. Step 2: Convert to fraction form
    46,694.28/64,448.16 = 27,567/x
  3. Step 3: Cross multiply
    46,694.28x = 64,448.16 × 27,567
  4. Step 4: Simplify right side
    46,694.28x = 1,776,642,426.72
  5. Step 5: Solve for x
    x = 1,776,642,426.72/46,694.28
  6. Step 6: Final answer
    x = 38,048.40

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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.