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Finding the Fourth Proportional to 97,049.63, 133,930.53 and 54,608.16

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Solution

The fourth proportional to 97,049.63, 133,930.53 and 54,608.16 is: 75,360.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,049.63 : 133,930.53 = 54,608.16 : x
  2. Step 2: Convert to fraction form
    97,049.63/133,930.53 = 54,608.16/x
  3. Step 3: Cross multiply
    97,049.63x = 133,930.53 × 54,608.16
  4. Step 4: Simplify right side
    97,049.63x = 7,313,699,811.12
  5. Step 5: Solve for x
    x = 7,313,699,811.12/97,049.63
  6. Step 6: Final answer
    x = 75,360.41

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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.