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Finding the Fourth Proportional to 70,894.76, 106,342.52 and 18,300.64

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Solution

The fourth proportional to 70,894.76, 106,342.52 and 18,300.64 is: 27,451.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,894.76 : 106,342.52 = 18,300.64 : x
  2. Step 2: Convert to fraction form
    70,894.76/106,342.52 = 18,300.64/x
  3. Step 3: Cross multiply
    70,894.76x = 106,342.52 × 18,300.64
  4. Step 4: Simplify right side
    70,894.76x = 1,946,136,175.21
  5. Step 5: Solve for x
    x = 1,946,136,175.21/70,894.76
  6. Step 6: Final answer
    x = 27,451.06

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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.