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Finding the Fourth Proportional to 61,106.40, 84,212.68 and 47,656.40

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Solution

The fourth proportional to 61,106.40, 84,212.68 and 47,656.40 is: 65,676.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,106.40 : 84,212.68 = 47,656.40 : x
  2. Step 2: Convert to fraction form
    61,106.40/84,212.68 = 47,656.40/x
  3. Step 3: Cross multiply
    61,106.40x = 84,212.68 × 47,656.40
  4. Step 4: Simplify right side
    61,106.40x = 4,013,273,163.15
  5. Step 5: Solve for x
    x = 4,013,273,163.15/61,106.40
  6. Step 6: Final answer
    x = 65,676.81

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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.