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Finding the Fourth Proportional to 49,713.42, 74,569.78 and 20,130.80

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Solution

The fourth proportional to 49,713.42, 74,569.78 and 20,130.80 is: 30,196.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,713.42 : 74,569.78 = 20,130.80 : x
  2. Step 2: Convert to fraction form
    49,713.42/74,569.78 = 20,130.80/x
  3. Step 3: Cross multiply
    49,713.42x = 74,569.78 × 20,130.80
  4. Step 4: Simplify right side
    49,713.42x = 1,501,149,327.22
  5. Step 5: Solve for x
    x = 1,501,149,327.22/49,713.42
  6. Step 6: Final answer
    x = 30,196.06

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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.