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Finding the Fourth Proportional to 32,980.32, 49,473.72 and 14,257.44

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Solution

The fourth proportional to 32,980.32, 49,473.72 and 14,257.44 is: 21,387.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,980.32 : 49,473.72 = 14,257.44 : x
  2. Step 2: Convert to fraction form
    32,980.32/49,473.72 = 14,257.44/x
  3. Step 3: Cross multiply
    32,980.32x = 49,473.72 × 14,257.44
  4. Step 4: Simplify right side
    32,980.32x = 705,368,594.48
  5. Step 5: Solve for x
    x = 705,368,594.48/32,980.32
  6. Step 6: Final answer
    x = 21,387.56

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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.