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Finding the Fourth Proportional to 97,050.72, 133,924.86 and 54,612

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Solution

The fourth proportional to 97,050.72, 133,924.86 and 54,612 is: 75,361.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,050.72 : 133,924.86 = 54,612 : x
  2. Step 2: Convert to fraction form
    97,050.72/133,924.86 = 54,612/x
  3. Step 3: Cross multiply
    97,050.72x = 133,924.86 × 54,612
  4. Step 4: Simplify right side
    97,050.72x = 7,313,904,454.32
  5. Step 5: Solve for x
    x = 7,313,904,454.32/97,050.72
  6. Step 6: Final answer
    x = 75,361.67

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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.