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Finding the Fourth Proportional to 78,335.25, 117,509.43 and 25,034.82

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Solution

The fourth proportional to 78,335.25, 117,509.43 and 25,034.82 is: 37,554.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,335.25 : 117,509.43 = 25,034.82 : x
  2. Step 2: Convert to fraction form
    78,335.25/117,509.43 = 25,034.82/x
  3. Step 3: Cross multiply
    78,335.25x = 117,509.43 × 25,034.82
  4. Step 4: Simplify right side
    78,335.25x = 2,941,827,742.56
  5. Step 5: Solve for x
    x = 2,941,827,742.56/78,335.25
  6. Step 6: Final answer
    x = 37,554.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.