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Finding the Fourth Proportional to 70,678.83, 106,031.37 and 23,297.24

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Solution

The fourth proportional to 70,678.83, 106,031.37 and 23,297.24 is: 34,950.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,678.83 : 106,031.37 = 23,297.24 : x
  2. Step 2: Convert to fraction form
    70,678.83/106,031.37 = 23,297.24/x
  3. Step 3: Cross multiply
    70,678.83x = 106,031.37 × 23,297.24
  4. Step 4: Simplify right side
    70,678.83x = 2,470,238,274.42
  5. Step 5: Solve for x
    x = 2,470,238,274.42/70,678.83
  6. Step 6: Final answer
    x = 34,950.19

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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.