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Finding the Fourth Proportional to 82,220.15, 113,461.40 and 46,413.49

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Solution

The fourth proportional to 82,220.15, 113,461.40 and 46,413.49 is: 64,049.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,220.15 : 113,461.40 = 46,413.49 : x
  2. Step 2: Convert to fraction form
    82,220.15/113,461.40 = 46,413.49/x
  3. Step 3: Cross multiply
    82,220.15x = 113,461.40 × 46,413.49
  4. Step 4: Simplify right side
    82,220.15x = 5,266,139,554.29
  5. Step 5: Solve for x
    x = 5,266,139,554.29/82,220.15
  6. Step 6: Final answer
    x = 64,049.26

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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.