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Finding the Fourth Proportional to 87,293.24, 130,997.28 and 47,878

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Solution

The fourth proportional to 87,293.24, 130,997.28 and 47,878 is: 71,848.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,293.24 : 130,997.28 = 47,878 : x
  2. Step 2: Convert to fraction form
    87,293.24/130,997.28 = 47,878/x
  3. Step 3: Cross multiply
    87,293.24x = 130,997.28 × 47,878
  4. Step 4: Simplify right side
    87,293.24x = 6,271,887,771.84
  5. Step 5: Solve for x
    x = 6,271,887,771.84/87,293.24
  6. Step 6: Final answer
    x = 71,848.49

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