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Finding the Fourth Proportional to 82,220.64, 113,462.10 and 46,413.98

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Solution

The fourth proportional to 82,220.64, 113,462.10 and 46,413.98 is: 64,049.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,220.64 : 113,462.10 = 46,413.98 : x
  2. Step 2: Convert to fraction form
    82,220.64/113,462.10 = 46,413.98/x
  3. Step 3: Cross multiply
    82,220.64x = 113,462.10 × 46,413.98
  4. Step 4: Simplify right side
    82,220.64x = 5,266,227,640.16
  5. Step 5: Solve for x
    x = 5,266,227,640.16/82,220.64
  6. Step 6: Final answer
    x = 64,049.95

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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.