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Finding the Fourth Proportional to 35,533.91, 53,283.03 and 11,833.10

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Solution

The fourth proportional to 35,533.91, 53,283.03 and 11,833.10 is: 17,743.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,533.91 : 53,283.03 = 11,833.10 : x
  2. Step 2: Convert to fraction form
    35,533.91/53,283.03 = 11,833.10/x
  3. Step 3: Cross multiply
    35,533.91x = 53,283.03 × 11,833.10
  4. Step 4: Simplify right side
    35,533.91x = 630,503,155.88
  5. Step 5: Solve for x
    x = 630,503,155.88/35,533.91
  6. Step 6: Final answer
    x = 17,743.71

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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.