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Finding the Fourth Proportional to 30,703.16, 46,050.16 and 8,514.22

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Solution

The fourth proportional to 30,703.16, 46,050.16 and 8,514.22 is: 12,770.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,703.16 : 46,050.16 = 8,514.22 : x
  2. Step 2: Convert to fraction form
    30,703.16/46,050.16 = 8,514.22/x
  3. Step 3: Cross multiply
    30,703.16x = 46,050.16 × 8,514.22
  4. Step 4: Simplify right side
    30,703.16x = 392,081,193.28
  5. Step 5: Solve for x
    x = 392,081,193.28/30,703.16
  6. Step 6: Final answer
    x = 12,770.06

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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.