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Finding the Fourth Proportional to 79,182, 118,782.72 and 23,778

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Solution

The fourth proportional to 79,182, 118,782.72 and 23,778 is: 35,669.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,182 : 118,782.72 = 23,778 : x
  2. Step 2: Convert to fraction form
    79,182/118,782.72 = 23,778/x
  3. Step 3: Cross multiply
    79,182x = 118,782.72 × 23,778
  4. Step 4: Simplify right side
    79,182x = 2,824,415,516.16
  5. Step 5: Solve for x
    x = 2,824,415,516.16/79,182
  6. Step 6: Final answer
    x = 35,669.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.