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Finding the Fourth Proportional to 36,950.48, 55,413.12 and 10,648.16

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Solution

The fourth proportional to 36,950.48, 55,413.12 and 10,648.16 is: 15,968.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,950.48 : 55,413.12 = 10,648.16 : x
  2. Step 2: Convert to fraction form
    36,950.48/55,413.12 = 10,648.16/x
  3. Step 3: Cross multiply
    36,950.48x = 55,413.12 × 10,648.16
  4. Step 4: Simplify right side
    36,950.48x = 590,047,767.86
  5. Step 5: Solve for x
    x = 590,047,767.86/36,950.48
  6. Step 6: Final answer
    x = 15,968.61

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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.