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Finding the Fourth Proportional to 38,507.03, 57,766.03 and 11,855.24

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Solution

The fourth proportional to 38,507.03, 57,766.03 and 11,855.24 is: 17,784.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,507.03 : 57,766.03 = 11,855.24 : x
  2. Step 2: Convert to fraction form
    38,507.03/57,766.03 = 11,855.24/x
  3. Step 3: Cross multiply
    38,507.03x = 57,766.03 × 11,855.24
  4. Step 4: Simplify right side
    38,507.03x = 684,830,264.27
  5. Step 5: Solve for x
    x = 684,830,264.27/38,507.03
  6. Step 6: Final answer
    x = 17,784.55

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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.