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Finding the Fourth Proportional to 30,706.16, 46,059.24 and 8,519.54

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Solution

The fourth proportional to 30,706.16, 46,059.24 and 8,519.54 is: 12,779.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,706.16 : 46,059.24 = 8,519.54 : x
  2. Step 2: Convert to fraction form
    30,706.16/46,059.24 = 8,519.54/x
  3. Step 3: Cross multiply
    30,706.16x = 46,059.24 × 8,519.54
  4. Step 4: Simplify right side
    30,706.16x = 392,403,537.55
  5. Step 5: Solve for x
    x = 392,403,537.55/30,706.16
  6. Step 6: Final answer
    x = 12,779.31

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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.