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Finding the Fourth Proportional to 52,642.38, 78,941.08 and 30,471.06

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Solution

The fourth proportional to 52,642.38, 78,941.08 and 30,471.06 is: 45,693.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,642.38 : 78,941.08 = 30,471.06 : x
  2. Step 2: Convert to fraction form
    52,642.38/78,941.08 = 30,471.06/x
  3. Step 3: Cross multiply
    52,642.38x = 78,941.08 × 30,471.06
  4. Step 4: Simplify right side
    52,642.38x = 2,405,418,385.14
  5. Step 5: Solve for x
    x = 2,405,418,385.14/52,642.38
  6. Step 6: Final answer
    x = 45,693.57

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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.