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Finding the Fourth Proportional to 36,646.89, 50,528.39 and 30,971.63

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Solution

The fourth proportional to 36,646.89, 50,528.39 and 30,971.63 is: 42,703.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,646.89 : 50,528.39 = 30,971.63 : x
  2. Step 2: Convert to fraction form
    36,646.89/50,528.39 = 30,971.63/x
  3. Step 3: Cross multiply
    36,646.89x = 50,528.39 × 30,971.63
  4. Step 4: Simplify right side
    36,646.89x = 1,564,946,192.08
  5. Step 5: Solve for x
    x = 1,564,946,192.08/36,646.89
  6. Step 6: Final answer
    x = 42,703.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.