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Finding the Fourth Proportional to 65,195.18, 97,855.83 and 31,484.82

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Solution

The fourth proportional to 65,195.18, 97,855.83 and 31,484.82 is: 47,257.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,195.18 : 97,855.83 = 31,484.82 : x
  2. Step 2: Convert to fraction form
    65,195.18/97,855.83 = 31,484.82/x
  3. Step 3: Cross multiply
    65,195.18x = 97,855.83 × 31,484.82
  4. Step 4: Simplify right side
    65,195.18x = 3,080,973,193.50
  5. Step 5: Solve for x
    x = 3,080,973,193.50/65,195.18
  6. Step 6: Final answer
    x = 47,257.68

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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.