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Finding the Fourth Proportional to 98,871.68, 148,276.82 and 35,683.68

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Solution

The fourth proportional to 98,871.68, 148,276.82 and 35,683.68 is: 53,514.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,871.68 : 148,276.82 = 35,683.68 : x
  2. Step 2: Convert to fraction form
    98,871.68/148,276.82 = 35,683.68/x
  3. Step 3: Cross multiply
    98,871.68x = 148,276.82 × 35,683.68
  4. Step 4: Simplify right side
    98,871.68x = 5,291,062,596.30
  5. Step 5: Solve for x
    x = 5,291,062,596.30/98,871.68
  6. Step 6: Final answer
    x = 53,514.44

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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.