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Finding the Fourth Proportional to 34,095, 47,051.82 and 19,191

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Solution

The fourth proportional to 34,095, 47,051.82 and 19,191 is: 26,483.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,095 : 47,051.82 = 19,191 : x
  2. Step 2: Convert to fraction form
    34,095/47,051.82 = 19,191/x
  3. Step 3: Cross multiply
    34,095x = 47,051.82 × 19,191
  4. Step 4: Simplify right side
    34,095x = 902,971,477.62
  5. Step 5: Solve for x
    x = 902,971,477.62/34,095
  6. Step 6: Final answer
    x = 26,483.99

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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.