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Finding the Fourth Proportional to 82,405.10, 123,607.65 and 47,413.10

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Solution

The fourth proportional to 82,405.10, 123,607.65 and 47,413.10 is: 71,119.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,405.10 : 123,607.65 = 47,413.10 : x
  2. Step 2: Convert to fraction form
    82,405.10/123,607.65 = 47,413.10/x
  3. Step 3: Cross multiply
    82,405.10x = 123,607.65 × 47,413.10
  4. Step 4: Simplify right side
    82,405.10x = 5,860,621,870.22
  5. Step 5: Solve for x
    x = 5,860,621,870.22/82,405.10
  6. Step 6: Final answer
    x = 71,119.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.