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Finding the Fourth Proportional to 78,393.41, 117,597.90 and 25,072.00

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Solution

The fourth proportional to 78,393.41, 117,597.90 and 25,072.00 is: 37,610.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,393.41 : 117,597.90 = 25,072.00 : x
  2. Step 2: Convert to fraction form
    78,393.41/117,597.90 = 25,072.00/x
  3. Step 3: Cross multiply
    78,393.41x = 117,597.90 × 25,072.00
  4. Step 4: Simplify right side
    78,393.41x = 2,948,413,960.81
  5. Step 5: Solve for x
    x = 2,948,413,960.81/78,393.41
  6. Step 6: Final answer
    x = 37,610.48

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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.