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Finding the Fourth Proportional to 34,606.48, 51,903.84 and 9,649.02

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Solution

The fourth proportional to 34,606.48, 51,903.84 and 9,649.02 is: 14,471.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,606.48 : 51,903.84 = 9,649.02 : x
  2. Step 2: Convert to fraction form
    34,606.48/51,903.84 = 9,649.02/x
  3. Step 3: Cross multiply
    34,606.48x = 51,903.84 × 9,649.02
  4. Step 4: Simplify right side
    34,606.48x = 500,821,190.24
  5. Step 5: Solve for x
    x = 500,821,190.24/34,606.48
  6. Step 6: Final answer
    x = 14,471.89

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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.