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Finding the Fourth Proportional to 32,856.36, 49,284.90 and 9,483

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Solution

The fourth proportional to 32,856.36, 49,284.90 and 9,483 is: 14,224.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,856.36 : 49,284.90 = 9,483 : x
  2. Step 2: Convert to fraction form
    32,856.36/49,284.90 = 9,483/x
  3. Step 3: Cross multiply
    32,856.36x = 49,284.90 × 9,483
  4. Step 4: Simplify right side
    32,856.36x = 467,368,706.70
  5. Step 5: Solve for x
    x = 467,368,706.70/32,856.36
  6. Step 6: Final answer
    x = 14,224.60

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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.