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Finding the Fourth Proportional to 53,866.96, 80,812.68 and 16,430.38

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Solution

The fourth proportional to 53,866.96, 80,812.68 and 16,430.38 is: 24,649.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,866.96 : 80,812.68 = 16,430.38 : x
  2. Step 2: Convert to fraction form
    53,866.96/80,812.68 = 16,430.38/x
  3. Step 3: Cross multiply
    53,866.96x = 80,812.68 × 16,430.38
  4. Step 4: Simplify right side
    53,866.96x = 1,327,783,041.22
  5. Step 5: Solve for x
    x = 1,327,783,041.22/53,866.96
  6. Step 6: Final answer
    x = 24,649.30

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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.