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Finding the Fourth Proportional to 35,341.92, 53,020.17 and 11,967.75

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Solution

The fourth proportional to 35,341.92, 53,020.17 and 11,967.75 is: 17,954.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,341.92 : 53,020.17 = 11,967.75 : x
  2. Step 2: Convert to fraction form
    35,341.92/53,020.17 = 11,967.75/x
  3. Step 3: Cross multiply
    35,341.92x = 53,020.17 × 11,967.75
  4. Step 4: Simplify right side
    35,341.92x = 634,532,139.52
  5. Step 5: Solve for x
    x = 634,532,139.52/35,341.92
  6. Step 6: Final answer
    x = 17,954.09

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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.