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Finding the Fourth Proportional to 32,014.51, 48,021.75 and 8,640.94

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Solution

The fourth proportional to 32,014.51, 48,021.75 and 8,640.94 is: 12,961.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,014.51 : 48,021.75 = 8,640.94 : x
  2. Step 2: Convert to fraction form
    32,014.51/48,021.75 = 8,640.94/x
  3. Step 3: Cross multiply
    32,014.51x = 48,021.75 × 8,640.94
  4. Step 4: Simplify right side
    32,014.51x = 414,953,060.45
  5. Step 5: Solve for x
    x = 414,953,060.45/32,014.51
  6. Step 6: Final answer
    x = 12,961.41

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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.