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Finding the Fourth Proportional to 34,606.08, 51,916.80 and 16,128

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Solution

The fourth proportional to 34,606.08, 51,916.80 and 16,128 is: 24,195.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,606.08 : 51,916.80 = 16,128 : x
  2. Step 2: Convert to fraction form
    34,606.08/51,916.80 = 16,128/x
  3. Step 3: Cross multiply
    34,606.08x = 51,916.80 × 16,128
  4. Step 4: Simplify right side
    34,606.08x = 837,314,150.40
  5. Step 5: Solve for x
    x = 837,314,150.40/34,606.08
  6. Step 6: Final answer
    x = 24,195.58

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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.