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Finding the Fourth Proportional to 34,047.60, 51,071.52 and 16,551.60

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Solution

The fourth proportional to 34,047.60, 51,071.52 and 16,551.60 is: 24,827.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,047.60 : 51,071.52 = 16,551.60 : x
  2. Step 2: Convert to fraction form
    34,047.60/51,071.52 = 16,551.60/x
  3. Step 3: Cross multiply
    34,047.60x = 51,071.52 × 16,551.60
  4. Step 4: Simplify right side
    34,047.60x = 845,315,370.43
  5. Step 5: Solve for x
    x = 845,315,370.43/34,047.60
  6. Step 6: Final answer
    x = 24,827.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.