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Finding the Fourth Proportional to 32,750.16, 49,128.84 and 9,380.40

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Solution

The fourth proportional to 32,750.16, 49,128.84 and 9,380.40 is: 14,071.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,750.16 : 49,128.84 = 9,380.40 : x
  2. Step 2: Convert to fraction form
    32,750.16/49,128.84 = 9,380.40/x
  3. Step 3: Cross multiply
    32,750.16x = 49,128.84 × 9,380.40
  4. Step 4: Simplify right side
    32,750.16x = 460,848,170.74
  5. Step 5: Solve for x
    x = 460,848,170.74/32,750.16
  6. Step 6: Final answer
    x = 14,071.63

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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.