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Finding the Fourth Proportional to 98,006.76, 146,922.66 and 45,343.80

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Solution

The fourth proportional to 98,006.76, 146,922.66 and 45,343.80 is: 67,975.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,006.76 : 146,922.66 = 45,343.80 : x
  2. Step 2: Convert to fraction form
    98,006.76/146,922.66 = 45,343.80/x
  3. Step 3: Cross multiply
    98,006.76x = 146,922.66 × 45,343.80
  4. Step 4: Simplify right side
    98,006.76x = 6,662,031,710.51
  5. Step 5: Solve for x
    x = 6,662,031,710.51/98,006.76
  6. Step 6: Final answer
    x = 67,975.23

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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.