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Finding the Fourth Proportional to 97,289.85, 134,260.32 and 54,849.09

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Solution

The fourth proportional to 97,289.85, 134,260.32 and 54,849.09 is: 75,691.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,289.85 : 134,260.32 = 54,849.09 : x
  2. Step 2: Convert to fraction form
    97,289.85/134,260.32 = 54,849.09/x
  3. Step 3: Cross multiply
    97,289.85x = 134,260.32 × 54,849.09
  4. Step 4: Simplify right side
    97,289.85x = 7,364,056,375.11
  5. Step 5: Solve for x
    x = 7,364,056,375.11/97,289.85
  6. Step 6: Final answer
    x = 75,691.93

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1.5x scale

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.