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Finding the Fourth Proportional to 32,809.90, 49,213.13 and 9,435.42

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Solution

The fourth proportional to 32,809.90, 49,213.13 and 9,435.42 is: 14,152.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,809.90 : 49,213.13 = 9,435.42 : x
  2. Step 2: Convert to fraction form
    32,809.90/49,213.13 = 9,435.42/x
  3. Step 3: Cross multiply
    32,809.90x = 49,213.13 × 9,435.42
  4. Step 4: Simplify right side
    32,809.90x = 464,346,551.06
  5. Step 5: Solve for x
    x = 464,346,551.06/32,809.90
  6. Step 6: Final answer
    x = 14,152.64

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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.