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Finding the Fourth Proportional to 57,008.36, 78,678.19 and 47,431.32

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Solution

The fourth proportional to 57,008.36, 78,678.19 and 47,431.32 is: 65,460.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,008.36 : 78,678.19 = 47,431.32 : x
  2. Step 2: Convert to fraction form
    57,008.36/78,678.19 = 47,431.32/x
  3. Step 3: Cross multiply
    57,008.36x = 78,678.19 × 47,431.32
  4. Step 4: Simplify right side
    57,008.36x = 3,731,810,346.92
  5. Step 5: Solve for x
    x = 3,731,810,346.92/57,008.36
  6. Step 6: Final answer
    x = 65,460.76

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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.