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Finding the Fourth Proportional to 38,520.72, 53,156.16 and 21,523.68

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Solution

The fourth proportional to 38,520.72, 53,156.16 and 21,523.68 is: 29,701.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,520.72 : 53,156.16 = 21,523.68 : x
  2. Step 2: Convert to fraction form
    38,520.72/53,156.16 = 21,523.68/x
  3. Step 3: Cross multiply
    38,520.72x = 53,156.16 × 21,523.68
  4. Step 4: Simplify right side
    38,520.72x = 1,144,116,177.87
  5. Step 5: Solve for x
    x = 1,144,116,177.87/38,520.72
  6. Step 6: Final answer
    x = 29,701.32

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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.