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Finding the Fourth Proportional to 34,064.50, 47,015.49 and 19,160.50

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Solution

The fourth proportional to 34,064.50, 47,015.49 and 19,160.50 is: 26,445.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,064.50 : 47,015.49 = 19,160.50 : x
  2. Step 2: Convert to fraction form
    34,064.50/47,015.49 = 19,160.50/x
  3. Step 3: Cross multiply
    34,064.50x = 47,015.49 × 19,160.50
  4. Step 4: Simplify right side
    34,064.50x = 900,840,296.15
  5. Step 5: Solve for x
    x = 900,840,296.15/34,064.50
  6. Step 6: Final answer
    x = 26,445.13

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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.