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Finding the Fourth Proportional to 35,013.40, 52,296.83 and 31,676.50

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Solution

The fourth proportional to 35,013.40, 52,296.83 and 31,676.50 is: 47,312.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,013.40 : 52,296.83 = 31,676.50 : x
  2. Step 2: Convert to fraction form
    35,013.40/52,296.83 = 31,676.50/x
  3. Step 3: Cross multiply
    35,013.40x = 52,296.83 × 31,676.50
  4. Step 4: Simplify right side
    35,013.40x = 1,656,580,483.94
  5. Step 5: Solve for x
    x = 1,656,580,483.94/35,013.40
  6. Step 6: Final answer
    x = 47,312.76

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.