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Finding the Fourth Proportional to 55,676.40, 83,417.40 and 47,900.40

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Solution

The fourth proportional to 55,676.40, 83,417.40 and 47,900.40 is: 71,766.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,676.40 : 83,417.40 = 47,900.40 : x
  2. Step 2: Convert to fraction form
    55,676.40/83,417.40 = 47,900.40/x
  3. Step 3: Cross multiply
    55,676.40x = 83,417.40 × 47,900.40
  4. Step 4: Simplify right side
    55,676.40x = 3,995,726,826.96
  5. Step 5: Solve for x
    x = 3,995,726,826.96/55,676.40
  6. Step 6: Final answer
    x = 71,766.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.