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Finding the Fourth Proportional to 34,649, 51,982.16 and 10,025

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Solution

The fourth proportional to 34,649, 51,982.16 and 10,025 is: 15,040.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,649 : 51,982.16 = 10,025 : x
  2. Step 2: Convert to fraction form
    34,649/51,982.16 = 10,025/x
  3. Step 3: Cross multiply
    34,649x = 51,982.16 × 10,025
  4. Step 4: Simplify right side
    34,649x = 521,121,154.00
  5. Step 5: Solve for x
    x = 521,121,154.00/34,649
  6. Step 6: Final answer
    x = 15,040.01

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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.