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Finding the Fourth Proportional to 27,781.82, 41,654.16 and 15,307.82

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Solution

The fourth proportional to 27,781.82, 41,654.16 and 15,307.82 is: 22,951.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,781.82 : 41,654.16 = 15,307.82 : x
  2. Step 2: Convert to fraction form
    27,781.82/41,654.16 = 15,307.82/x
  3. Step 3: Cross multiply
    27,781.82x = 41,654.16 × 15,307.82
  4. Step 4: Simplify right side
    27,781.82x = 637,634,383.53
  5. Step 5: Solve for x
    x = 637,634,383.53/27,781.82
  6. Step 6: Final answer
    x = 22,951.50

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1.5x scale

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.