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Finding the Fourth Proportional to 53,784.50, 80,681.01 and 16,347.82

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Solution

The fourth proportional to 53,784.50, 80,681.01 and 16,347.82 is: 24,523.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,784.50 : 80,681.01 = 16,347.82 : x
  2. Step 2: Convert to fraction form
    53,784.50/80,681.01 = 16,347.82/x
  3. Step 3: Cross multiply
    53,784.50x = 80,681.01 × 16,347.82
  4. Step 4: Simplify right side
    53,784.50x = 1,318,958,628.90
  5. Step 5: Solve for x
    x = 1,318,958,628.90/53,784.50
  6. Step 6: Final answer
    x = 24,523.02

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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.