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Finding the Fourth Proportional to 35,871.78, 53,835.75 and 24,855.78

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Solution

The fourth proportional to 35,871.78, 53,835.75 and 24,855.78 is: 37,303.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,871.78 : 53,835.75 = 24,855.78 : x
  2. Step 2: Convert to fraction form
    35,871.78/53,835.75 = 24,855.78/x
  3. Step 3: Cross multiply
    35,871.78x = 53,835.75 × 24,855.78
  4. Step 4: Simplify right side
    35,871.78x = 1,338,129,558.14
  5. Step 5: Solve for x
    x = 1,338,129,558.14/35,871.78
  6. Step 6: Final answer
    x = 37,303.13

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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.