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Finding the Fourth Proportional to 32,541.94, 48,813.72 and 9,167.50

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Solution

The fourth proportional to 32,541.94, 48,813.72 and 9,167.50 is: 13,751.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,541.94 : 48,813.72 = 9,167.50 : x
  2. Step 2: Convert to fraction form
    32,541.94/48,813.72 = 9,167.50/x
  3. Step 3: Cross multiply
    32,541.94x = 48,813.72 × 9,167.50
  4. Step 4: Simplify right side
    32,541.94x = 447,499,778.10
  5. Step 5: Solve for x
    x = 447,499,778.10/32,541.94
  6. Step 6: Final answer
    x = 13,751.48

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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.