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Finding the Fourth Proportional to 30,493.77, 45,733.21 and 8,307.26

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Solution

The fourth proportional to 30,493.77, 45,733.21 and 8,307.26 is: 12,458.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,493.77 : 45,733.21 = 8,307.26 : x
  2. Step 2: Convert to fraction form
    30,493.77/45,733.21 = 8,307.26/x
  3. Step 3: Cross multiply
    30,493.77x = 45,733.21 × 8,307.26
  4. Step 4: Simplify right side
    30,493.77x = 379,917,588.17
  5. Step 5: Solve for x
    x = 379,917,588.17/30,493.77
  6. Step 6: Final answer
    x = 12,458.86

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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.