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Finding the Fourth Proportional to 97,967.53, 146,992.90 and 53,542.38

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Solution

The fourth proportional to 97,967.53, 146,992.90 and 53,542.38 is: 80,336.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,967.53 : 146,992.90 = 53,542.38 : x
  2. Step 2: Convert to fraction form
    97,967.53/146,992.90 = 53,542.38/x
  3. Step 3: Cross multiply
    97,967.53x = 146,992.90 × 53,542.38
  4. Step 4: Simplify right side
    97,967.53x = 7,870,349,709.10
  5. Step 5: Solve for x
    x = 7,870,349,709.10/97,967.53
  6. Step 6: Final answer
    x = 80,336.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.