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Finding the Fourth Proportional to 47,476.12, 65,491 and 30,461.37

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Solution

The fourth proportional to 47,476.12, 65,491 and 30,461.37 is: 42,019.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,476.12 : 65,491 = 30,461.37 : x
  2. Step 2: Convert to fraction form
    47,476.12/65,491 = 30,461.37/x
  3. Step 3: Cross multiply
    47,476.12x = 65,491 × 30,461.37
  4. Step 4: Simplify right side
    47,476.12x = 1,994,945,582.67
  5. Step 5: Solve for x
    x = 1,994,945,582.67/47,476.12
  6. Step 6: Final answer
    x = 42,019.98

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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.