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Finding the Fourth Proportional to 32,516.60, 48,774.78 and 7,892.60

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Solution

The fourth proportional to 32,516.60, 48,774.78 and 7,892.60 is: 11,838.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,516.60 : 48,774.78 = 7,892.60 : x
  2. Step 2: Convert to fraction form
    32,516.60/48,774.78 = 7,892.60/x
  3. Step 3: Cross multiply
    32,516.60x = 48,774.78 × 7,892.60
  4. Step 4: Simplify right side
    32,516.60x = 384,959,828.63
  5. Step 5: Solve for x
    x = 384,959,828.63/32,516.60
  6. Step 6: Final answer
    x = 11,838.87

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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.