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Finding the Fourth Proportional to 98,092, 135,367.50 and 53,380

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Solution

The fourth proportional to 98,092, 135,367.50 and 53,380 is: 73,664.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,092 : 135,367.50 = 53,380 : x
  2. Step 2: Convert to fraction form
    98,092/135,367.50 = 53,380/x
  3. Step 3: Cross multiply
    98,092x = 135,367.50 × 53,380
  4. Step 4: Simplify right side
    98,092x = 7,225,917,150
  5. Step 5: Solve for x
    x = 7,225,917,150/98,092
  6. Step 6: Final answer
    x = 73,664.69

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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.