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Finding the Fourth Proportional to 32,107.84, 48,051.42 and 20,256.16

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Solution

The fourth proportional to 32,107.84, 48,051.42 and 20,256.16 is: 30,314.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,107.84 : 48,051.42 = 20,256.16 : x
  2. Step 2: Convert to fraction form
    32,107.84/48,051.42 = 20,256.16/x
  3. Step 3: Cross multiply
    32,107.84x = 48,051.42 × 20,256.16
  4. Step 4: Simplify right side
    32,107.84x = 973,337,251.75
  5. Step 5: Solve for x
    x = 973,337,251.75/32,107.84
  6. Step 6: Final answer
    x = 30,314.63

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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.