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Finding the Fourth Proportional to 54,948.01, 75,840.62 and 31,082.37

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Solution

The fourth proportional to 54,948.01, 75,840.62 and 31,082.37 is: 42,900.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,948.01 : 75,840.62 = 31,082.37 : x
  2. Step 2: Convert to fraction form
    54,948.01/75,840.62 = 31,082.37/x
  3. Step 3: Cross multiply
    54,948.01x = 75,840.62 × 31,082.37
  4. Step 4: Simplify right side
    54,948.01x = 2,357,306,211.87
  5. Step 5: Solve for x
    x = 2,357,306,211.87/54,948.01
  6. Step 6: Final answer
    x = 42,900.67

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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.