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Finding the Fourth Proportional to 97,091.92, 133,991.16 and 54,653.20

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Solution

The fourth proportional to 97,091.92, 133,991.16 and 54,653.20 is: 75,423.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,091.92 : 133,991.16 = 54,653.20 : x
  2. Step 2: Convert to fraction form
    97,091.92/133,991.16 = 54,653.20/x
  3. Step 3: Cross multiply
    97,091.92x = 133,991.16 × 54,653.20
  4. Step 4: Simplify right side
    97,091.92x = 7,323,045,665.71
  5. Step 5: Solve for x
    x = 7,323,045,665.71/97,091.92
  6. Step 6: Final answer
    x = 75,423.84

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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.