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Finding the Fourth Proportional to 34,896, 52,360.80 and 17,367.36

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Solution

The fourth proportional to 34,896, 52,360.80 and 17,367.36 is: 26,059.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,896 : 52,360.80 = 17,367.36 : x
  2. Step 2: Convert to fraction form
    34,896/52,360.80 = 17,367.36/x
  3. Step 3: Cross multiply
    34,896x = 52,360.80 × 17,367.36
  4. Step 4: Simplify right side
    34,896x = 909,368,863.49
  5. Step 5: Solve for x
    x = 909,368,863.49/34,896
  6. Step 6: Final answer
    x = 26,059.40

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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.