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Finding the Fourth Proportional to 34,177.86, 51,266.48 and 10,804.30

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Solution

The fourth proportional to 34,177.86, 51,266.48 and 10,804.30 is: 16,206.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,177.86 : 51,266.48 = 10,804.30 : x
  2. Step 2: Convert to fraction form
    34,177.86/51,266.48 = 10,804.30/x
  3. Step 3: Cross multiply
    34,177.86x = 51,266.48 × 10,804.30
  4. Step 4: Simplify right side
    34,177.86x = 553,898,375.84
  5. Step 5: Solve for x
    x = 553,898,375.84/34,177.86
  6. Step 6: Final answer
    x = 16,206.35

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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.