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Finding the Fourth Proportional to 32,861.50, 45,301.64 and 23,413.66

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Solution

The fourth proportional to 32,861.50, 45,301.64 and 23,413.66 is: 32,277.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,861.50 : 45,301.64 = 23,413.66 : x
  2. Step 2: Convert to fraction form
    32,861.50/45,301.64 = 23,413.66/x
  3. Step 3: Cross multiply
    32,861.50x = 45,301.64 × 23,413.66
  4. Step 4: Simplify right side
    32,861.50x = 1,060,677,196.40
  5. Step 5: Solve for x
    x = 1,060,677,196.40/32,861.50
  6. Step 6: Final answer
    x = 32,277.20

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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.