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Finding the Fourth Proportional to 97,408.40, 145,997.40 and 50,637.20

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Solution

The fourth proportional to 97,408.40, 145,997.40 and 50,637.20 is: 75,895.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,408.40 : 145,997.40 = 50,637.20 : x
  2. Step 2: Convert to fraction form
    97,408.40/145,997.40 = 50,637.20/x
  3. Step 3: Cross multiply
    97,408.40x = 145,997.40 × 50,637.20
  4. Step 4: Simplify right side
    97,408.40x = 7,392,899,543.28
  5. Step 5: Solve for x
    x = 7,392,899,543.28/97,408.40
  6. Step 6: Final answer
    x = 75,895.91

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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.