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Finding the Fourth Proportional to 34,992, 52,498.24 and 10,368.64

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Solution

The fourth proportional to 34,992, 52,498.24 and 10,368.64 is: 15,555.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,992 : 52,498.24 = 10,368.64 : x
  2. Step 2: Convert to fraction form
    34,992/52,498.24 = 10,368.64/x
  3. Step 3: Cross multiply
    34,992x = 52,498.24 × 10,368.64
  4. Step 4: Simplify right side
    34,992x = 544,335,351.19
  5. Step 5: Solve for x
    x = 544,335,351.19/34,992
  6. Step 6: Final answer
    x = 15,555.99

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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.