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Finding the Fourth Proportional to 30,566.84, 45,842.96 and 15,768.14

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Solution

The fourth proportional to 30,566.84, 45,842.96 and 15,768.14 is: 23,648.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,566.84 : 45,842.96 = 15,768.14 : x
  2. Step 2: Convert to fraction form
    30,566.84/45,842.96 = 15,768.14/x
  3. Step 3: Cross multiply
    30,566.84x = 45,842.96 × 15,768.14
  4. Step 4: Simplify right side
    30,566.84x = 722,858,021.50
  5. Step 5: Solve for x
    x = 722,858,021.50/30,566.84
  6. Step 6: Final answer
    x = 23,648.44

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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.