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Finding the Fourth Proportional to 39,117.52, 53,968.03 and 25,696

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Solution

The fourth proportional to 39,117.52, 53,968.03 and 25,696 is: 35,451.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,117.52 : 53,968.03 = 25,696 : x
  2. Step 2: Convert to fraction form
    39,117.52/53,968.03 = 25,696/x
  3. Step 3: Cross multiply
    39,117.52x = 53,968.03 × 25,696
  4. Step 4: Simplify right side
    39,117.52x = 1,386,762,498.88
  5. Step 5: Solve for x
    x = 1,386,762,498.88/39,117.52
  6. Step 6: Final answer
    x = 35,451.19

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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.