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Finding the Fourth Proportional to 56,413.50, 77,858.40 and 32,539.65

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Solution

The fourth proportional to 56,413.50, 77,858.40 and 32,539.65 is: 44,909.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,413.50 : 77,858.40 = 32,539.65 : x
  2. Step 2: Convert to fraction form
    56,413.50/77,858.40 = 32,539.65/x
  3. Step 3: Cross multiply
    56,413.50x = 77,858.40 × 32,539.65
  4. Step 4: Simplify right side
    56,413.50x = 2,533,485,085.56
  5. Step 5: Solve for x
    x = 2,533,485,085.56/56,413.50
  6. Step 6: Final answer
    x = 44,909.20

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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.