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Finding the Fourth Proportional to 32,984.48, 49,476 and 8,024.64

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Solution

The fourth proportional to 32,984.48, 49,476 and 8,024.64 is: 12,036.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,984.48 : 49,476 = 8,024.64 : x
  2. Step 2: Convert to fraction form
    32,984.48/49,476 = 8,024.64/x
  3. Step 3: Cross multiply
    32,984.48x = 49,476 × 8,024.64
  4. Step 4: Simplify right side
    32,984.48x = 397,027,088.64
  5. Step 5: Solve for x
    x = 397,027,088.64/32,984.48
  6. Step 6: Final answer
    x = 12,036.78

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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.