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Finding the Fourth Proportional to 34,213.39, 47,214.54 and 19,106.00

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Solution

The fourth proportional to 34,213.39, 47,214.54 and 19,106.00 is: 26,366.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,213.39 : 47,214.54 = 19,106.00 : x
  2. Step 2: Convert to fraction form
    34,213.39/47,214.54 = 19,106.00/x
  3. Step 3: Cross multiply
    34,213.39x = 47,214.54 × 19,106.00
  4. Step 4: Simplify right side
    34,213.39x = 902,081,167.04
  5. Step 5: Solve for x
    x = 902,081,167.04/34,213.39
  6. Step 6: Final answer
    x = 26,366.32

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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.