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Finding the Fourth Proportional to 34,607.54, 51,911.33 and 9,647.66

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Solution

The fourth proportional to 34,607.54, 51,911.33 and 9,647.66 is: 14,471.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,607.54 : 51,911.33 = 9,647.66 : x
  2. Step 2: Convert to fraction form
    34,607.54/51,911.33 = 9,647.66/x
  3. Step 3: Cross multiply
    34,607.54x = 51,911.33 × 9,647.66
  4. Step 4: Simplify right side
    34,607.54x = 500,822,554.19
  5. Step 5: Solve for x
    x = 500,822,554.19/34,607.54
  6. Step 6: Final answer
    x = 14,471.49

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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.