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Finding the Fourth Proportional to 53,810.96, 80,614.68 and 30,454.16

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Solution

The fourth proportional to 53,810.96, 80,614.68 and 30,454.16 is: 45,623.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,810.96 : 80,614.68 = 30,454.16 : x
  2. Step 2: Convert to fraction form
    53,810.96/80,614.68 = 30,454.16/x
  3. Step 3: Cross multiply
    53,810.96x = 80,614.68 × 30,454.16
  4. Step 4: Simplify right side
    53,810.96x = 2,455,052,363.07
  5. Step 5: Solve for x
    x = 2,455,052,363.07/53,810.96
  6. Step 6: Final answer
    x = 45,623.65

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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.