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Finding the Fourth Proportional to 53,413.99, 80,114.01 and 13,974.13

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Solution

The fourth proportional to 53,413.99, 80,114.01 and 13,974.13 is: 20,959.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,413.99 : 80,114.01 = 13,974.13 : x
  2. Step 2: Convert to fraction form
    53,413.99/80,114.01 = 13,974.13/x
  3. Step 3: Cross multiply
    53,413.99x = 80,114.01 × 13,974.13
  4. Step 4: Simplify right side
    53,413.99x = 1,119,523,590.56
  5. Step 5: Solve for x
    x = 1,119,523,590.56/53,413.99
  6. Step 6: Final answer
    x = 20,959.37

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1.5x scale

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.