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Finding the Fourth Proportional to 50,445.72, 69,614.46 and 27,784.26

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Solution

The fourth proportional to 50,445.72, 69,614.46 and 27,784.26 is: 38,341.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,445.72 : 69,614.46 = 27,784.26 : x
  2. Step 2: Convert to fraction form
    50,445.72/69,614.46 = 27,784.26/x
  3. Step 3: Cross multiply
    50,445.72x = 69,614.46 × 27,784.26
  4. Step 4: Simplify right side
    50,445.72x = 1,934,186,256.40
  5. Step 5: Solve for x
    x = 1,934,186,256.40/50,445.72
  6. Step 6: Final answer
    x = 38,341.93

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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.