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Finding the Fourth Proportional to 57,588, 86,256.72 and 27,943.28

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Solution

The fourth proportional to 57,588, 86,256.72 and 27,943.28 is: 41,854.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,588 : 86,256.72 = 27,943.28 : x
  2. Step 2: Convert to fraction form
    57,588/86,256.72 = 27,943.28/x
  3. Step 3: Cross multiply
    57,588x = 86,256.72 × 27,943.28
  4. Step 4: Simplify right side
    57,588x = 2,410,295,678.84
  5. Step 5: Solve for x
    x = 2,410,295,678.84/57,588
  6. Step 6: Final answer
    x = 41,854.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.