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Finding the Fourth Proportional to 34,597.14, 51,706.16 and 25,256.84

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Solution

The fourth proportional to 34,597.14, 51,706.16 and 25,256.84 is: 37,746.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,597.14 : 51,706.16 = 25,256.84 : x
  2. Step 2: Convert to fraction form
    34,597.14/51,706.16 = 25,256.84/x
  3. Step 3: Cross multiply
    34,597.14x = 51,706.16 × 25,256.84
  4. Step 4: Simplify right side
    34,597.14x = 1,305,933,825.32
  5. Step 5: Solve for x
    x = 1,305,933,825.32/34,597.14
  6. Step 6: Final answer
    x = 37,746.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.