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Finding the Fourth Proportional to 53,827.86, 81,247.39 and 53,827.86

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Solution

The fourth proportional to 53,827.86, 81,247.39 and 53,827.86 is: 81,247.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,827.86 : 81,247.39 = 53,827.86 : x
  2. Step 2: Convert to fraction form
    53,827.86/81,247.39 = 53,827.86/x
  3. Step 3: Cross multiply
    53,827.86x = 81,247.39 × 53,827.86
  4. Step 4: Simplify right side
    53,827.86x = 4,373,373,607.18
  5. Step 5: Solve for x
    x = 4,373,373,607.18/53,827.86
  6. Step 6: Final answer
    x = 81,247.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.