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Finding the Fourth Proportional to 98,668.96, 136,164.24 and 53,956

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Solution

The fourth proportional to 98,668.96, 136,164.24 and 53,956 is: 74,459.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,668.96 : 136,164.24 = 53,956 : x
  2. Step 2: Convert to fraction form
    98,668.96/136,164.24 = 53,956/x
  3. Step 3: Cross multiply
    98,668.96x = 136,164.24 × 53,956
  4. Step 4: Simplify right side
    98,668.96x = 7,346,877,733.44
  5. Step 5: Solve for x
    x = 7,346,877,733.44/98,668.96
  6. Step 6: Final answer
    x = 74,459.87

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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.