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Finding the Fourth Proportional to 98,858.42, 136,424.74 and 53,536.47

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Solution

The fourth proportional to 98,858.42, 136,424.74 and 53,536.47 is: 73,880.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,858.42 : 136,424.74 = 53,536.47 : x
  2. Step 2: Convert to fraction form
    98,858.42/136,424.74 = 53,536.47/x
  3. Step 3: Cross multiply
    98,858.42x = 136,424.74 × 53,536.47
  4. Step 4: Simplify right side
    98,858.42x = 7,303,699,000.27
  5. Step 5: Solve for x
    x = 7,303,699,000.27/98,858.42
  6. Step 6: Final answer
    x = 73,880.39

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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.