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Finding the Fourth Proportional to 97,324.47, 134,295.72 and 57,028.98

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Solution

The fourth proportional to 97,324.47, 134,295.72 and 57,028.98 is: 78,692.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,324.47 : 134,295.72 = 57,028.98 : x
  2. Step 2: Convert to fraction form
    97,324.47/134,295.72 = 57,028.98/x
  3. Step 3: Cross multiply
    97,324.47x = 134,295.72 × 57,028.98
  4. Step 4: Simplify right side
    97,324.47x = 7,658,747,929.97
  5. Step 5: Solve for x
    x = 7,658,747,929.97/97,324.47
  6. Step 6: Final answer
    x = 78,692.93

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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.