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Finding the Fourth Proportional to 77,413.36, 106,840.32 and 45,585.22

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Solution

The fourth proportional to 77,413.36, 106,840.32 and 45,585.22 is: 62,913.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,413.36 : 106,840.32 = 45,585.22 : x
  2. Step 2: Convert to fraction form
    77,413.36/106,840.32 = 45,585.22/x
  3. Step 3: Cross multiply
    77,413.36x = 106,840.32 × 45,585.22
  4. Step 4: Simplify right side
    77,413.36x = 4,870,339,492.07
  5. Step 5: Solve for x
    x = 4,870,339,492.07/77,413.36
  6. Step 6: Final answer
    x = 62,913.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.