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Finding the Fourth Proportional to 78,466.50, 117,751.59 and 36,916.74

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Solution

The fourth proportional to 78,466.50, 117,751.59 and 36,916.74 is: 55,399.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,466.50 : 117,751.59 = 36,916.74 : x
  2. Step 2: Convert to fraction form
    78,466.50/117,751.59 = 36,916.74/x
  3. Step 3: Cross multiply
    78,466.50x = 117,751.59 × 36,916.74
  4. Step 4: Simplify right side
    78,466.50x = 4,347,004,832.62
  5. Step 5: Solve for x
    x = 4,347,004,832.62/78,466.50
  6. Step 6: Final answer
    x = 55,399.50

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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.