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Finding the Fourth Proportional to 78,499.73, 117,749.94 and 24,465.11

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Solution

The fourth proportional to 78,499.73, 117,749.94 and 24,465.11 is: 36,697.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,499.73 : 117,749.94 = 24,465.11 : x
  2. Step 2: Convert to fraction form
    78,499.73/117,749.94 = 24,465.11/x
  3. Step 3: Cross multiply
    78,499.73x = 117,749.94 × 24,465.11
  4. Step 4: Simplify right side
    78,499.73x = 2,880,764,554.10
  5. Step 5: Solve for x
    x = 2,880,764,554.10/78,499.73
  6. Step 6: Final answer
    x = 36,697.76

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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.