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Finding the Fourth Proportional to 46,407.38, 64,058.81 and 27,544.50

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Solution

The fourth proportional to 46,407.38, 64,058.81 and 27,544.50 is: 38,021.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,407.38 : 64,058.81 = 27,544.50 : x
  2. Step 2: Convert to fraction form
    46,407.38/64,058.81 = 27,544.50/x
  3. Step 3: Cross multiply
    46,407.38x = 64,058.81 × 27,544.50
  4. Step 4: Simplify right side
    46,407.38x = 1,764,467,754.32
  5. Step 5: Solve for x
    x = 1,764,467,754.32/46,407.38
  6. Step 6: Final answer
    x = 38,021.28

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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.