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Finding the Fourth Proportional to 46,504.68, 64,182 and 27,641.88

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Solution

The fourth proportional to 46,504.68, 64,182 and 27,641.88 is: 38,149.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,504.68 : 64,182 = 27,641.88 : x
  2. Step 2: Convert to fraction form
    46,504.68/64,182 = 27,641.88/x
  3. Step 3: Cross multiply
    46,504.68x = 64,182 × 27,641.88
  4. Step 4: Simplify right side
    46,504.68x = 1,774,111,142.16
  5. Step 5: Solve for x
    x = 1,774,111,142.16/46,504.68
  6. Step 6: Final answer
    x = 38,149.09

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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.