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Finding the Fourth Proportional to 97,666.75, 134,780.12 and 52,954.75

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Solution

The fourth proportional to 97,666.75, 134,780.12 and 52,954.75 is: 73,077.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,666.75 : 134,780.12 = 52,954.75 : x
  2. Step 2: Convert to fraction form
    97,666.75/134,780.12 = 52,954.75/x
  3. Step 3: Cross multiply
    97,666.75x = 134,780.12 × 52,954.75
  4. Step 4: Simplify right side
    97,666.75x = 7,137,247,294.80
  5. Step 5: Solve for x
    x = 7,137,247,294.80/97,666.75
  6. Step 6: Final answer
    x = 73,077.56

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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.