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Finding the Fourth Proportional to 97,029.42, 133,900.40 and 54,588

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Solution

The fourth proportional to 97,029.42, 133,900.40 and 54,588 is: 75,331.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,029.42 : 133,900.40 = 54,588 : x
  2. Step 2: Convert to fraction form
    97,029.42/133,900.40 = 54,588/x
  3. Step 3: Cross multiply
    97,029.42x = 133,900.40 × 54,588
  4. Step 4: Simplify right side
    97,029.42x = 7,309,355,035.20
  5. Step 5: Solve for x
    x = 7,309,355,035.20/97,029.42
  6. Step 6: Final answer
    x = 75,331.33

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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.