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Finding the Fourth Proportional to 32,826.36, 49,248 and 9,454.62

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Solution

The fourth proportional to 32,826.36, 49,248 and 9,454.62 is: 14,184.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,826.36 : 49,248 = 9,454.62 : x
  2. Step 2: Convert to fraction form
    32,826.36/49,248 = 9,454.62/x
  3. Step 3: Cross multiply
    32,826.36x = 49,248 × 9,454.62
  4. Step 4: Simplify right side
    32,826.36x = 465,621,125.76
  5. Step 5: Solve for x
    x = 465,621,125.76/32,826.36
  6. Step 6: Final answer
    x = 14,184.37

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