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Finding the Fourth Proportional to 78,774.74, 117,884.55 and 49,206.50

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Solution

The fourth proportional to 78,774.74, 117,884.55 and 49,206.50 is: 73,636.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,774.74 : 117,884.55 = 49,206.50 : x
  2. Step 2: Convert to fraction form
    78,774.74/117,884.55 = 49,206.50/x
  3. Step 3: Cross multiply
    78,774.74x = 117,884.55 × 49,206.50
  4. Step 4: Simplify right side
    78,774.74x = 5,800,686,109.58
  5. Step 5: Solve for x
    x = 5,800,686,109.58/78,774.74
  6. Step 6: Final answer
    x = 73,636.37

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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.