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Finding the Fourth Proportional to 32,280.36, 48,414.72 and 8,901

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Solution

The fourth proportional to 32,280.36, 48,414.72 and 8,901 is: 13,349.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,280.36 : 48,414.72 = 8,901 : x
  2. Step 2: Convert to fraction form
    32,280.36/48,414.72 = 8,901/x
  3. Step 3: Cross multiply
    32,280.36x = 48,414.72 × 8,901
  4. Step 4: Simplify right side
    32,280.36x = 430,939,422.72
  5. Step 5: Solve for x
    x = 430,939,422.72/32,280.36
  6. Step 6: Final answer
    x = 13,349.90

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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.