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Finding the Fourth Proportional to 30,742.50, 46,112.94 and 8,554.98

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Solution

The fourth proportional to 30,742.50, 46,112.94 and 8,554.98 is: 12,832.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,742.50 : 46,112.94 = 8,554.98 : x
  2. Step 2: Convert to fraction form
    30,742.50/46,112.94 = 8,554.98/x
  3. Step 3: Cross multiply
    30,742.50x = 46,112.94 × 8,554.98
  4. Step 4: Simplify right side
    30,742.50x = 394,495,279.44
  5. Step 5: Solve for x
    x = 394,495,279.44/30,742.50
  6. Step 6: Final answer
    x = 12,832.24

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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.