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Finding the Fourth Proportional to 32,147.94, 48,233.24 and 14,376.94

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Solution

The fourth proportional to 32,147.94, 48,233.24 and 14,376.94 is: 21,570.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,147.94 : 48,233.24 = 14,376.94 : x
  2. Step 2: Convert to fraction form
    32,147.94/48,233.24 = 14,376.94/x
  3. Step 3: Cross multiply
    32,147.94x = 48,233.24 × 14,376.94
  4. Step 4: Simplify right side
    32,147.94x = 693,446,397.49
  5. Step 5: Solve for x
    x = 693,446,397.49/32,147.94
  6. Step 6: Final answer
    x = 21,570.48

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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.