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Finding the Fourth Proportional to 39,742.94, 54,829.50 and 25,604

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Solution

The fourth proportional to 39,742.94, 54,829.50 and 25,604 is: 35,323.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,742.94 : 54,829.50 = 25,604 : x
  2. Step 2: Convert to fraction form
    39,742.94/54,829.50 = 25,604/x
  3. Step 3: Cross multiply
    39,742.94x = 54,829.50 × 25,604
  4. Step 4: Simplify right side
    39,742.94x = 1,403,854,518
  5. Step 5: Solve for x
    x = 1,403,854,518/39,742.94
  6. Step 6: Final answer
    x = 35,323.37

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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.