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Finding the Fourth Proportional to 57,009.36, 78,679.57 and 47,432.32

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Solution

The fourth proportional to 57,009.36, 78,679.57 and 47,432.32 is: 65,462.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,009.36 : 78,679.57 = 47,432.32 : x
  2. Step 2: Convert to fraction form
    57,009.36/78,679.57 = 47,432.32/x
  3. Step 3: Cross multiply
    57,009.36x = 78,679.57 × 47,432.32
  4. Step 4: Simplify right side
    57,009.36x = 3,731,954,541.70
  5. Step 5: Solve for x
    x = 3,731,954,541.70/57,009.36
  6. Step 6: Final answer
    x = 65,462.14

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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.