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Finding the Fourth Proportional to 38,500.89, 53,130.14 and 21,504.64

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Solution

The fourth proportional to 38,500.89, 53,130.14 and 21,504.64 is: 29,675.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,500.89 : 53,130.14 = 21,504.64 : x
  2. Step 2: Convert to fraction form
    38,500.89/53,130.14 = 21,504.64/x
  3. Step 3: Cross multiply
    38,500.89x = 53,130.14 × 21,504.64
  4. Step 4: Simplify right side
    38,500.89x = 1,142,544,413.28
  5. Step 5: Solve for x
    x = 1,142,544,413.28/38,500.89
  6. Step 6: Final answer
    x = 29,675.79

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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.