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Finding the Fourth Proportional to 27,325.92, 40,984.80 and 7,602.42

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Solution

The fourth proportional to 27,325.92, 40,984.80 and 7,602.42 is: 11,402.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,325.92 : 40,984.80 = 7,602.42 : x
  2. Step 2: Convert to fraction form
    27,325.92/40,984.80 = 7,602.42/x
  3. Step 3: Cross multiply
    27,325.92x = 40,984.80 × 7,602.42
  4. Step 4: Simplify right side
    27,325.92x = 311,583,663.22
  5. Step 5: Solve for x
    x = 311,583,663.22/27,325.92
  6. Step 6: Final answer
    x = 11,402.49

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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.