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Finding the Fourth Proportional to 32,630.40, 48,947.46 and 9,255

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Solution

The fourth proportional to 32,630.40, 48,947.46 and 9,255 is: 13,883.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,630.40 : 48,947.46 = 9,255 : x
  2. Step 2: Convert to fraction form
    32,630.40/48,947.46 = 9,255/x
  3. Step 3: Cross multiply
    32,630.40x = 48,947.46 × 9,255
  4. Step 4: Simplify right side
    32,630.40x = 453,008,742.30
  5. Step 5: Solve for x
    x = 453,008,742.30/32,630.40
  6. Step 6: Final answer
    x = 13,883.03

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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.