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Finding the Fourth Proportional to 50,572.04, 75,879.93 and 19,400

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Solution

The fourth proportional to 50,572.04, 75,879.93 and 19,400 is: 29,108.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,572.04 : 75,879.93 = 19,400 : x
  2. Step 2: Convert to fraction form
    50,572.04/75,879.93 = 19,400/x
  3. Step 3: Cross multiply
    50,572.04x = 75,879.93 × 19,400
  4. Step 4: Simplify right side
    50,572.04x = 1,472,070,642.00
  5. Step 5: Solve for x
    x = 1,472,070,642.00/50,572.04
  6. Step 6: Final answer
    x = 29,108.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.