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Finding the Fourth Proportional to 46,406.88, 64,058.09 and 27,544

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Solution

The fourth proportional to 46,406.88, 64,058.09 and 27,544 is: 38,020.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,406.88 : 64,058.09 = 27,544 : x
  2. Step 2: Convert to fraction form
    46,406.88/64,058.09 = 27,544/x
  3. Step 3: Cross multiply
    46,406.88x = 64,058.09 × 27,544
  4. Step 4: Simplify right side
    46,406.88x = 1,764,416,030.96
  5. Step 5: Solve for x
    x = 1,764,416,030.96/46,406.88
  6. Step 6: Final answer
    x = 38,020.57

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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.