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Finding the Fourth Proportional to 57,528, 86,167.36 and 27,883.82

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Solution

The fourth proportional to 57,528, 86,167.36 and 27,883.82 is: 41,765.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,528 : 86,167.36 = 27,883.82 : x
  2. Step 2: Convert to fraction form
    57,528/86,167.36 = 27,883.82/x
  3. Step 3: Cross multiply
    57,528x = 86,167.36 × 27,883.82
  4. Step 4: Simplify right side
    57,528x = 2,402,675,156.12
  5. Step 5: Solve for x
    x = 2,402,675,156.12/57,528
  6. Step 6: Final answer
    x = 41,765.32

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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.