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Finding the Fourth Proportional to 34,730, 52,076.64 and 15,993.68

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Solution

The fourth proportional to 34,730, 52,076.64 and 15,993.68 is: 23,982.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,730 : 52,076.64 = 15,993.68 : x
  2. Step 2: Convert to fraction form
    34,730/52,076.64 = 15,993.68/x
  3. Step 3: Cross multiply
    34,730x = 52,076.64 × 15,993.68
  4. Step 4: Simplify right side
    34,730x = 832,897,115.64
  5. Step 5: Solve for x
    x = 832,897,115.64/34,730
  6. Step 6: Final answer
    x = 23,982.06

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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.