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Finding the Fourth Proportional to 35,347.96, 53,028.96 and 13,161.52

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Solution

The fourth proportional to 35,347.96, 53,028.96 and 13,161.52 is: 19,744.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,347.96 : 53,028.96 = 13,161.52 : x
  2. Step 2: Convert to fraction form
    35,347.96/53,028.96 = 13,161.52/x
  3. Step 3: Cross multiply
    35,347.96x = 53,028.96 × 13,161.52
  4. Step 4: Simplify right side
    35,347.96x = 697,941,717.62
  5. Step 5: Solve for x
    x = 697,941,717.62/35,347.96
  6. Step 6: Final answer
    x = 19,744.89

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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.