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Finding the Fourth Proportional to 83,026, 114,564.31 and 47,212.05

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Solution

The fourth proportional to 83,026, 114,564.31 and 47,212.05 is: 65,146.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,026 : 114,564.31 = 47,212.05 : x
  2. Step 2: Convert to fraction form
    83,026/114,564.31 = 47,212.05/x
  3. Step 3: Cross multiply
    83,026x = 114,564.31 × 47,212.05
  4. Step 4: Simplify right side
    83,026x = 5,408,815,931.94
  5. Step 5: Solve for x
    x = 5,408,815,931.94/83,026
  6. Step 6: Final answer
    x = 65,146.05

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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.