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Finding the Fourth Proportional to 102,582.84, 153,861.68 and 27,697.26

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Solution

The fourth proportional to 102,582.84, 153,861.68 and 27,697.26 is: 41,542.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,582.84 : 153,861.68 = 27,697.26 : x
  2. Step 2: Convert to fraction form
    102,582.84/153,861.68 = 27,697.26/x
  3. Step 3: Cross multiply
    102,582.84x = 153,861.68 × 27,697.26
  4. Step 4: Simplify right side
    102,582.84x = 4,261,546,955.00
  5. Step 5: Solve for x
    x = 4,261,546,955.00/102,582.84
  6. Step 6: Final answer
    x = 41,542.49

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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.