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Finding the Fourth Proportional to 34,159.50, 47,140.11 and 19,255.50

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Solution

The fourth proportional to 34,159.50, 47,140.11 and 19,255.50 is: 26,572.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,159.50 : 47,140.11 = 19,255.50 : x
  2. Step 2: Convert to fraction form
    34,159.50/47,140.11 = 19,255.50/x
  3. Step 3: Cross multiply
    34,159.50x = 47,140.11 × 19,255.50
  4. Step 4: Simplify right side
    34,159.50x = 907,706,388.11
  5. Step 5: Solve for x
    x = 907,706,388.11/34,159.50
  6. Step 6: Final answer
    x = 26,572.59

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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.