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Finding the Fourth Proportional to 35,543.78, 53,297.80 and 11,842.94

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Solution

The fourth proportional to 35,543.78, 53,297.80 and 11,842.94 is: 17,758.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,543.78 : 53,297.80 = 11,842.94 : x
  2. Step 2: Convert to fraction form
    35,543.78/53,297.80 = 11,842.94/x
  3. Step 3: Cross multiply
    35,543.78x = 53,297.80 × 11,842.94
  4. Step 4: Simplify right side
    35,543.78x = 631,202,351.44
  5. Step 5: Solve for x
    x = 631,202,351.44/35,543.78
  6. Step 6: Final answer
    x = 17,758.45

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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.