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Finding the Fourth Proportional to 98,833.73, 136,390.34 and 53,511.74

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Solution

The fourth proportional to 98,833.73, 136,390.34 and 53,511.74 is: 73,846.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,833.73 : 136,390.34 = 53,511.74 : x
  2. Step 2: Convert to fraction form
    98,833.73/136,390.34 = 53,511.74/x
  3. Step 3: Cross multiply
    98,833.73x = 136,390.34 × 53,511.74
  4. Step 4: Simplify right side
    98,833.73x = 7,298,484,486.01
  5. Step 5: Solve for x
    x = 7,298,484,486.01/98,833.73
  6. Step 6: Final answer
    x = 73,846.09

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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.