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Finding the Fourth Proportional to 70,697.82, 97,560.48 and 38,866.50

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Solution

The fourth proportional to 70,697.82, 97,560.48 and 38,866.50 is: 53,634.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,697.82 : 97,560.48 = 38,866.50 : x
  2. Step 2: Convert to fraction form
    70,697.82/97,560.48 = 38,866.50/x
  3. Step 3: Cross multiply
    70,697.82x = 97,560.48 × 38,866.50
  4. Step 4: Simplify right side
    70,697.82x = 3,791,834,395.92
  5. Step 5: Solve for x
    x = 3,791,834,395.92/70,697.82
  6. Step 6: Final answer
    x = 53,634.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.