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Finding the Fourth Proportional to 39,542, 54,577.68 and 22,784.72

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Solution

The fourth proportional to 39,542, 54,577.68 and 22,784.72 is: 31,448.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,542 : 54,577.68 = 22,784.72 : x
  2. Step 2: Convert to fraction form
    39,542/54,577.68 = 22,784.72/x
  3. Step 3: Cross multiply
    39,542x = 54,577.68 × 22,784.72
  4. Step 4: Simplify right side
    39,542x = 1,243,537,157.05
  5. Step 5: Solve for x
    x = 1,243,537,157.05/39,542
  6. Step 6: Final answer
    x = 31,448.51

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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.