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Finding the Fourth Proportional to 82,908.16, 114,413.26 and 45,182.38

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Solution

The fourth proportional to 82,908.16, 114,413.26 and 45,182.38 is: 62,351.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,908.16 : 114,413.26 = 45,182.38 : x
  2. Step 2: Convert to fraction form
    82,908.16/114,413.26 = 45,182.38/x
  3. Step 3: Cross multiply
    82,908.16x = 114,413.26 × 45,182.38
  4. Step 4: Simplify right side
    82,908.16x = 5,169,462,705.34
  5. Step 5: Solve for x
    x = 5,169,462,705.34/82,908.16
  6. Step 6: Final answer
    x = 62,351.68

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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.