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Finding the Fourth Proportional to 97,594.49, 134,679.29 and 52,882.49

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Solution

The fourth proportional to 97,594.49, 134,679.29 and 52,882.49 is: 72,977.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,594.49 : 134,679.29 = 52,882.49 : x
  2. Step 2: Convert to fraction form
    97,594.49/134,679.29 = 52,882.49/x
  3. Step 3: Cross multiply
    97,594.49x = 134,679.29 × 52,882.49
  4. Step 4: Simplify right side
    97,594.49x = 7,122,175,268.82
  5. Step 5: Solve for x
    x = 7,122,175,268.82/97,594.49
  6. Step 6: Final answer
    x = 72,977.23

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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.