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Finding the Fourth Proportional to 65,407.50, 98,106.21 and 37,239.12

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Solution

The fourth proportional to 65,407.50, 98,106.21 and 37,239.12 is: 55,855.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,407.50 : 98,106.21 = 37,239.12 : x
  2. Step 2: Convert to fraction form
    65,407.50/98,106.21 = 37,239.12/x
  3. Step 3: Cross multiply
    65,407.50x = 98,106.21 × 37,239.12
  4. Step 4: Simplify right side
    65,407.50x = 3,653,388,926.94
  5. Step 5: Solve for x
    x = 3,653,388,926.94/65,407.50
  6. Step 6: Final answer
    x = 55,855.81

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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.