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Finding the Fourth Proportional to 80,970.49, 121,456.50 and 31,038.67

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Solution

The fourth proportional to 80,970.49, 121,456.50 and 31,038.67 is: 46,558.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,970.49 : 121,456.50 = 31,038.67 : x
  2. Step 2: Convert to fraction form
    80,970.49/121,456.50 = 31,038.67/x
  3. Step 3: Cross multiply
    80,970.49x = 121,456.50 × 31,038.67
  4. Step 4: Simplify right side
    80,970.49x = 3,769,848,222.86
  5. Step 5: Solve for x
    x = 3,769,848,222.86/80,970.49
  6. Step 6: Final answer
    x = 46,558.30

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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.