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Finding the Fourth Proportional to 32,835.41, 49,230.62 and 11,775.00

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Solution

The fourth proportional to 32,835.41, 49,230.62 and 11,775.00 is: 17,654.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,835.41 : 49,230.62 = 11,775.00 : x
  2. Step 2: Convert to fraction form
    32,835.41/49,230.62 = 11,775.00/x
  3. Step 3: Cross multiply
    32,835.41x = 49,230.62 × 11,775.00
  4. Step 4: Simplify right side
    32,835.41x = 579,690,666.23
  5. Step 5: Solve for x
    x = 579,690,666.23/32,835.41
  6. Step 6: Final answer
    x = 17,654.44

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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.