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Finding the Fourth Proportional to 98,112.47, 146,959.31 and 47,434.82

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Solution

The fourth proportional to 98,112.47, 146,959.31 and 47,434.82 is: 71,050.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,112.47 : 146,959.31 = 47,434.82 : x
  2. Step 2: Convert to fraction form
    98,112.47/146,959.31 = 47,434.82/x
  3. Step 3: Cross multiply
    98,112.47x = 146,959.31 × 47,434.82
  4. Step 4: Simplify right side
    98,112.47x = 6,970,987,800.96
  5. Step 5: Solve for x
    x = 6,970,987,800.96/98,112.47
  6. Step 6: Final answer
    x = 71,050.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.