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Finding the Fourth Proportional to 34,697.25, 52,047.32 and 10,073.25

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Solution

The fourth proportional to 34,697.25, 52,047.32 and 10,073.25 is: 15,110.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,697.25 : 52,047.32 = 10,073.25 : x
  2. Step 2: Convert to fraction form
    34,697.25/52,047.32 = 10,073.25/x
  3. Step 3: Cross multiply
    34,697.25x = 52,047.32 × 10,073.25
  4. Step 4: Simplify right side
    34,697.25x = 524,285,666.19
  5. Step 5: Solve for x
    x = 524,285,666.19/34,697.25
  6. Step 6: Final answer
    x = 15,110.29

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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.