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Finding the Fourth Proportional to 97,182, 145,782 and 44,583.84

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Solution

The fourth proportional to 97,182, 145,782 and 44,583.84 is: 66,879.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,182 : 145,782 = 44,583.84 : x
  2. Step 2: Convert to fraction form
    97,182/145,782 = 44,583.84/x
  3. Step 3: Cross multiply
    97,182x = 145,782 × 44,583.84
  4. Step 4: Simplify right side
    97,182x = 6,499,521,362.88
  5. Step 5: Solve for x
    x = 6,499,521,362.88/97,182
  6. Step 6: Final answer
    x = 66,879.89

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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.