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Finding the Fourth Proportional to 50,413.64, 75,631.74 and 15,356.06

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Solution

The fourth proportional to 50,413.64, 75,631.74 and 15,356.06 is: 23,037.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,413.64 : 75,631.74 = 15,356.06 : x
  2. Step 2: Convert to fraction form
    50,413.64/75,631.74 = 15,356.06/x
  3. Step 3: Cross multiply
    50,413.64x = 75,631.74 × 15,356.06
  4. Step 4: Simplify right side
    50,413.64x = 1,161,405,537.34
  5. Step 5: Solve for x
    x = 1,161,405,537.34/50,413.64
  6. Step 6: Final answer
    x = 23,037.53

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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.