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Finding the Fourth Proportional to 30,257.94, 45,389.08 and 8,071.20

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Solution

The fourth proportional to 30,257.94, 45,389.08 and 8,071.20 is: 12,107.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,257.94 : 45,389.08 = 8,071.20 : x
  2. Step 2: Convert to fraction form
    30,257.94/45,389.08 = 8,071.20/x
  3. Step 3: Cross multiply
    30,257.94x = 45,389.08 × 8,071.20
  4. Step 4: Simplify right side
    30,257.94x = 366,344,342.50
  5. Step 5: Solve for x
    x = 366,344,342.50/30,257.94
  6. Step 6: Final answer
    x = 12,107.38

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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.