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Finding the Fourth Proportional to 30,706.69, 45,743.13 and 29,777.44

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Solution

The fourth proportional to 30,706.69, 45,743.13 and 29,777.44 is: 44,358.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,706.69 : 45,743.13 = 29,777.44 : x
  2. Step 2: Convert to fraction form
    30,706.69/45,743.13 = 29,777.44/x
  3. Step 3: Cross multiply
    30,706.69x = 45,743.13 × 29,777.44
  4. Step 4: Simplify right side
    30,706.69x = 1,362,113,308.99
  5. Step 5: Solve for x
    x = 1,362,113,308.99/30,706.69
  6. Step 6: Final answer
    x = 44,358.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.