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Finding the Fourth Proportional to 32,547.15, 48,827.25 and 13,827.03

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Solution

The fourth proportional to 32,547.15, 48,827.25 and 13,827.03 is: 20,743.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,547.15 : 48,827.25 = 13,827.03 : x
  2. Step 2: Convert to fraction form
    32,547.15/48,827.25 = 13,827.03/x
  3. Step 3: Cross multiply
    32,547.15x = 48,827.25 × 13,827.03
  4. Step 4: Simplify right side
    32,547.15x = 675,135,850.57
  5. Step 5: Solve for x
    x = 675,135,850.57/32,547.15
  6. Step 6: Final answer
    x = 20,743.32

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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.