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Finding the Fourth Proportional to 109,402.46, 164,103.74 and 34,528.46

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Solution

The fourth proportional to 109,402.46, 164,103.74 and 34,528.46 is: 51,792.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,402.46 : 164,103.74 = 34,528.46 : x
  2. Step 2: Convert to fraction form
    109,402.46/164,103.74 = 34,528.46/x
  3. Step 3: Cross multiply
    109,402.46x = 164,103.74 × 34,528.46
  4. Step 4: Simplify right side
    109,402.46x = 5,666,249,422.44
  5. Step 5: Solve for x
    x = 5,666,249,422.44/109,402.46
  6. Step 6: Final answer
    x = 51,792.71

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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.