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Finding the Fourth Proportional to 82,832, 114,300.96 and 47,023.52

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Solution

The fourth proportional to 82,832, 114,300.96 and 47,023.52 is: 64,888.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,832 : 114,300.96 = 47,023.52 : x
  2. Step 2: Convert to fraction form
    82,832/114,300.96 = 47,023.52/x
  3. Step 3: Cross multiply
    82,832x = 114,300.96 × 47,023.52
  4. Step 4: Simplify right side
    82,832x = 5,374,833,478.58
  5. Step 5: Solve for x
    x = 5,374,833,478.58/82,832
  6. Step 6: Final answer
    x = 64,888.37

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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.