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Finding the Fourth Proportional to 29,928.84, 44,893.24 and 9,152.36

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Solution

The fourth proportional to 29,928.84, 44,893.24 and 9,152.36 is: 13,728.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,928.84 : 44,893.24 = 9,152.36 : x
  2. Step 2: Convert to fraction form
    29,928.84/44,893.24 = 9,152.36/x
  3. Step 3: Cross multiply
    29,928.84x = 44,893.24 × 9,152.36
  4. Step 4: Simplify right side
    29,928.84x = 410,879,094.05
  5. Step 5: Solve for x
    x = 410,879,094.05/29,928.84
  6. Step 6: Final answer
    x = 13,728.53

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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.