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Finding the Fourth Proportional to 34,700.50, 52,052.19 and 10,076.50

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Solution

The fourth proportional to 34,700.50, 52,052.19 and 10,076.50 is: 15,115.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,700.50 : 52,052.19 = 10,076.50 : x
  2. Step 2: Convert to fraction form
    34,700.50/52,052.19 = 10,076.50/x
  3. Step 3: Cross multiply
    34,700.50x = 52,052.19 × 10,076.50
  4. Step 4: Simplify right side
    34,700.50x = 524,503,892.54
  5. Step 5: Solve for x
    x = 524,503,892.54/34,700.50
  6. Step 6: Final answer
    x = 15,115.17

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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.