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Finding the Fourth Proportional to 34,454.88, 51,672.48 and 9,488.64

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Solution

The fourth proportional to 34,454.88, 51,672.48 and 9,488.64 is: 14,230.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,454.88 : 51,672.48 = 9,488.64 : x
  2. Step 2: Convert to fraction form
    34,454.88/51,672.48 = 9,488.64/x
  3. Step 3: Cross multiply
    34,454.88x = 51,672.48 × 9,488.64
  4. Step 4: Simplify right side
    34,454.88x = 490,301,560.63
  5. Step 5: Solve for x
    x = 490,301,560.63/34,454.88
  6. Step 6: Final answer
    x = 14,230.25

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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.