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Finding the Fourth Proportional to 39,542.84, 54,567.04 and 22,547.60

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Solution

The fourth proportional to 39,542.84, 54,567.04 and 22,547.60 is: 31,114.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,542.84 : 54,567.04 = 22,547.60 : x
  2. Step 2: Convert to fraction form
    39,542.84/54,567.04 = 22,547.60/x
  3. Step 3: Cross multiply
    39,542.84x = 54,567.04 × 22,547.60
  4. Step 4: Simplify right side
    39,542.84x = 1,230,355,791.10
  5. Step 5: Solve for x
    x = 1,230,355,791.10/39,542.84
  6. Step 6: Final answer
    x = 31,114.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.