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Finding the Fourth Proportional to 32,541.08, 48,814.86 and 9,167.48

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Solution

The fourth proportional to 32,541.08, 48,814.86 and 9,167.48 is: 13,752.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,541.08 : 48,814.86 = 9,167.48 : x
  2. Step 2: Convert to fraction form
    32,541.08/48,814.86 = 9,167.48/x
  3. Step 3: Cross multiply
    32,541.08x = 48,814.86 × 9,167.48
  4. Step 4: Simplify right side
    32,541.08x = 447,509,252.75
  5. Step 5: Solve for x
    x = 447,509,252.75/32,541.08
  6. Step 6: Final answer
    x = 13,752.13

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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.