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Finding the Fourth Proportional to 27,835.74, 41,678.28 and 20,383.74

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Solution

The fourth proportional to 27,835.74, 41,678.28 and 20,383.74 is: 30,520.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,835.74 : 41,678.28 = 20,383.74 : x
  2. Step 2: Convert to fraction form
    27,835.74/41,678.28 = 20,383.74/x
  3. Step 3: Cross multiply
    27,835.74x = 41,678.28 × 20,383.74
  4. Step 4: Simplify right side
    27,835.74x = 849,559,223.17
  5. Step 5: Solve for x
    x = 849,559,223.17/27,835.74
  6. Step 6: Final answer
    x = 30,520.45

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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.