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Finding the Fourth Proportional to 32,107.06, 48,142.92 and 9,914.32

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Solution

The fourth proportional to 32,107.06, 48,142.92 and 9,914.32 is: 14,866.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,107.06 : 48,142.92 = 9,914.32 : x
  2. Step 2: Convert to fraction form
    32,107.06/48,142.92 = 9,914.32/x
  3. Step 3: Cross multiply
    32,107.06x = 48,142.92 × 9,914.32
  4. Step 4: Simplify right side
    32,107.06x = 477,304,314.61
  5. Step 5: Solve for x
    x = 477,304,314.61/32,107.06
  6. Step 6: Final answer
    x = 14,866.02

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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.