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Finding the Fourth Proportional to 98,815.82, 136,365.80 and 53,493.77

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Solution

The fourth proportional to 98,815.82, 136,365.80 and 53,493.77 is: 73,821.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,815.82 : 136,365.80 = 53,493.77 : x
  2. Step 2: Convert to fraction form
    98,815.82/136,365.80 = 53,493.77/x
  3. Step 3: Cross multiply
    98,815.82x = 136,365.80 × 53,493.77
  4. Step 4: Simplify right side
    98,815.82x = 7,294,720,526.35
  5. Step 5: Solve for x
    x = 7,294,720,526.35/98,815.82
  6. Step 6: Final answer
    x = 73,821.38

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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.