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Finding the Fourth Proportional to 35,497.58, 53,235.41 and 11,800.08

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Solution

The fourth proportional to 35,497.58, 53,235.41 and 11,800.08 is: 17,696.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,497.58 : 53,235.41 = 11,800.08 : x
  2. Step 2: Convert to fraction form
    35,497.58/53,235.41 = 11,800.08/x
  3. Step 3: Cross multiply
    35,497.58x = 53,235.41 × 11,800.08
  4. Step 4: Simplify right side
    35,497.58x = 628,182,037.83
  5. Step 5: Solve for x
    x = 628,182,037.83/35,497.58
  6. Step 6: Final answer
    x = 17,696.48

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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.