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Finding the Fourth Proportional to 53,471.34, 73,792.19 and 30,808.53

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Solution

The fourth proportional to 53,471.34, 73,792.19 and 30,808.53 is: 42,516.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,471.34 : 73,792.19 = 30,808.53 : x
  2. Step 2: Convert to fraction form
    53,471.34/73,792.19 = 30,808.53/x
  3. Step 3: Cross multiply
    53,471.34x = 73,792.19 × 30,808.53
  4. Step 4: Simplify right side
    53,471.34x = 2,273,428,745.34
  5. Step 5: Solve for x
    x = 2,273,428,745.34/53,471.34
  6. Step 6: Final answer
    x = 42,516.77

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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.