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Finding the Fourth Proportional to 77,369.80, 106,762.32 and 45,536.80

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Solution

The fourth proportional to 77,369.80, 106,762.32 and 45,536.80 is: 62,836.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,369.80 : 106,762.32 = 45,536.80 : x
  2. Step 2: Convert to fraction form
    77,369.80/106,762.32 = 45,536.80/x
  3. Step 3: Cross multiply
    77,369.80x = 106,762.32 × 45,536.80
  4. Step 4: Simplify right side
    77,369.80x = 4,861,614,413.38
  5. Step 5: Solve for x
    x = 4,861,614,413.38/77,369.80
  6. Step 6: Final answer
    x = 62,836.07

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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.