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Finding the Fourth Proportional to 48,825, 67,385.69 and 30,921.67

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Solution

The fourth proportional to 48,825, 67,385.69 and 30,921.67 is: 42,676.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,825 : 67,385.69 = 30,921.67 : x
  2. Step 2: Convert to fraction form
    48,825/67,385.69 = 30,921.67/x
  3. Step 3: Cross multiply
    48,825x = 67,385.69 × 30,921.67
  4. Step 4: Simplify right side
    48,825x = 2,083,678,068.90
  5. Step 5: Solve for x
    x = 2,083,678,068.90/48,825
  6. Step 6: Final answer
    x = 42,676.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.