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Finding the Fourth Proportional to 64,983.63, 97,455.60 and 27,543

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Solution

The fourth proportional to 64,983.63, 97,455.60 and 27,543 is: 41,306.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,983.63 : 97,455.60 = 27,543 : x
  2. Step 2: Convert to fraction form
    64,983.63/97,455.60 = 27,543/x
  3. Step 3: Cross multiply
    64,983.63x = 97,455.60 × 27,543
  4. Step 4: Simplify right side
    64,983.63x = 2,684,219,590.80
  5. Step 5: Solve for x
    x = 2,684,219,590.80/64,983.63
  6. Step 6: Final answer
    x = 41,306.09

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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.