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Finding the Fourth Proportional to 34,308.16, 51,461.64 and 9,347.80

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Solution

The fourth proportional to 34,308.16, 51,461.64 and 9,347.80 is: 14,021.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,308.16 : 51,461.64 = 9,347.80 : x
  2. Step 2: Convert to fraction form
    34,308.16/51,461.64 = 9,347.80/x
  3. Step 3: Cross multiply
    34,308.16x = 51,461.64 × 9,347.80
  4. Step 4: Simplify right side
    34,308.16x = 481,053,118.39
  5. Step 5: Solve for x
    x = 481,053,118.39/34,308.16
  6. Step 6: Final answer
    x = 14,021.54

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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.