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Finding the Fourth Proportional to 53,897.76, 80,846.64 and 26,172

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Solution

The fourth proportional to 53,897.76, 80,846.64 and 26,172 is: 39,258

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,897.76 : 80,846.64 = 26,172 : x
  2. Step 2: Convert to fraction form
    53,897.76/80,846.64 = 26,172/x
  3. Step 3: Cross multiply
    53,897.76x = 80,846.64 × 26,172
  4. Step 4: Simplify right side
    53,897.76x = 2,115,918,262.08
  5. Step 5: Solve for x
    x = 2,115,918,262.08/53,897.76
  6. Step 6: Final answer
    x = 39,258

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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.