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Finding the Fourth Proportional to 98,536.56, 135,984.60 and 53,827.44

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Solution

The fourth proportional to 98,536.56, 135,984.60 and 53,827.44 is: 74,284.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,536.56 : 135,984.60 = 53,827.44 : x
  2. Step 2: Convert to fraction form
    98,536.56/135,984.60 = 53,827.44/x
  3. Step 3: Cross multiply
    98,536.56x = 135,984.60 × 53,827.44
  4. Step 4: Simplify right side
    98,536.56x = 7,319,702,897.42
  5. Step 5: Solve for x
    x = 7,319,702,897.42/98,536.56
  6. Step 6: Final answer
    x = 74,284.13

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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.