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Finding the Fourth Proportional to 34,898.64, 52,292 and 33,976.08

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Solution

The fourth proportional to 34,898.64, 52,292 and 33,976.08 is: 50,909.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,898.64 : 52,292 = 33,976.08 : x
  2. Step 2: Convert to fraction form
    34,898.64/52,292 = 33,976.08/x
  3. Step 3: Cross multiply
    34,898.64x = 52,292 × 33,976.08
  4. Step 4: Simplify right side
    34,898.64x = 1,776,677,175.36
  5. Step 5: Solve for x
    x = 1,776,677,175.36/34,898.64
  6. Step 6: Final answer
    x = 50,909.64

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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.