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Finding the Fourth Proportional to 41,174.84, 61,762.26 and 10,010

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Solution

The fourth proportional to 41,174.84, 61,762.26 and 10,010 is: 15,015.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,174.84 : 61,762.26 = 10,010 : x
  2. Step 2: Convert to fraction form
    41,174.84/61,762.26 = 10,010/x
  3. Step 3: Cross multiply
    41,174.84x = 61,762.26 × 10,010
  4. Step 4: Simplify right side
    41,174.84x = 618,240,222.60
  5. Step 5: Solve for x
    x = 618,240,222.60/41,174.84
  6. Step 6: Final answer
    x = 15,015.00

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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.