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Finding the Fourth Proportional to 57,952.16, 86,984.43 and 27,987.58

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Solution

The fourth proportional to 57,952.16, 86,984.43 and 27,987.58 is: 42,008.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,952.16 : 86,984.43 = 27,987.58 : x
  2. Step 2: Convert to fraction form
    57,952.16/86,984.43 = 27,987.58/x
  3. Step 3: Cross multiply
    57,952.16x = 86,984.43 × 27,987.58
  4. Step 4: Simplify right side
    57,952.16x = 2,434,483,365.30
  5. Step 5: Solve for x
    x = 2,434,483,365.30/57,952.16
  6. Step 6: Final answer
    x = 42,008.50

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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.