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Finding the Fourth Proportional to 46,523.92, 64,219.71 and 27,661

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Solution

The fourth proportional to 46,523.92, 64,219.71 and 27,661 is: 38,182.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,523.92 : 64,219.71 = 27,661 : x
  2. Step 2: Convert to fraction form
    46,523.92/64,219.71 = 27,661/x
  3. Step 3: Cross multiply
    46,523.92x = 64,219.71 × 27,661
  4. Step 4: Simplify right side
    46,523.92x = 1,776,381,398.31
  5. Step 5: Solve for x
    x = 1,776,381,398.31/46,523.92
  6. Step 6: Final answer
    x = 38,182.11

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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.