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Finding the Fourth Proportional to 97,654.36, 134,761.84 and 57,371.80

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Solution

The fourth proportional to 97,654.36, 134,761.84 and 57,371.80 is: 79,172.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,654.36 : 134,761.84 = 57,371.80 : x
  2. Step 2: Convert to fraction form
    97,654.36/134,761.84 = 57,371.80/x
  3. Step 3: Cross multiply
    97,654.36x = 134,761.84 × 57,371.80
  4. Step 4: Simplify right side
    97,654.36x = 7,731,529,332.11
  5. Step 5: Solve for x
    x = 7,731,529,332.11/97,654.36
  6. Step 6: Final answer
    x = 79,172.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.