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Finding the Fourth Proportional to 39,505, 59,250.21 and 11,418.07

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Solution

The fourth proportional to 39,505, 59,250.21 and 11,418.07 is: 17,125.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,505 : 59,250.21 = 11,418.07 : x
  2. Step 2: Convert to fraction form
    39,505/59,250.21 = 11,418.07/x
  3. Step 3: Cross multiply
    39,505x = 59,250.21 × 11,418.07
  4. Step 4: Simplify right side
    39,505x = 676,523,045.29
  5. Step 5: Solve for x
    x = 676,523,045.29/39,505
  6. Step 6: Final answer
    x = 17,125.00

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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.