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Finding the Fourth Proportional to 97,182.92, 134,112.90 and 54,742.12

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Solution

The fourth proportional to 97,182.92, 134,112.90 and 54,742.12 is: 75,544.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,182.92 : 134,112.90 = 54,742.12 : x
  2. Step 2: Convert to fraction form
    97,182.92/134,112.90 = 54,742.12/x
  3. Step 3: Cross multiply
    97,182.92x = 134,112.90 × 54,742.12
  4. Step 4: Simplify right side
    97,182.92x = 7,341,624,465.35
  5. Step 5: Solve for x
    x = 7,341,624,465.35/97,182.92
  6. Step 6: Final answer
    x = 75,544.39

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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.