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Finding the Fourth Proportional to 34,477.52, 51,719.27 and 9,517.58

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Solution

The fourth proportional to 34,477.52, 51,719.27 and 9,517.58 is: 14,277.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,477.52 : 51,719.27 = 9,517.58 : x
  2. Step 2: Convert to fraction form
    34,477.52/51,719.27 = 9,517.58/x
  3. Step 3: Cross multiply
    34,477.52x = 51,719.27 × 9,517.58
  4. Step 4: Simplify right side
    34,477.52x = 492,241,983.58
  5. Step 5: Solve for x
    x = 492,241,983.58/34,477.52
  6. Step 6: Final answer
    x = 14,277.19

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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.