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Finding the Fourth Proportional to 34,160, 47,140.80 and 19,256

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Solution

The fourth proportional to 34,160, 47,140.80 and 19,256 is: 26,573.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,160 : 47,140.80 = 19,256 : x
  2. Step 2: Convert to fraction form
    34,160/47,140.80 = 19,256/x
  3. Step 3: Cross multiply
    34,160x = 47,140.80 × 19,256
  4. Step 4: Simplify right side
    34,160x = 907,743,244.80
  5. Step 5: Solve for x
    x = 907,743,244.80/34,160
  6. Step 6: Final answer
    x = 26,573.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.