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Finding the Fourth Proportional to 96,297.58, 144,416.94 and 33,953.50

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Solution

The fourth proportional to 96,297.58, 144,416.94 and 33,953.50 is: 50,919.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,297.58 : 144,416.94 = 33,953.50 : x
  2. Step 2: Convert to fraction form
    96,297.58/144,416.94 = 33,953.50/x
  3. Step 3: Cross multiply
    96,297.58x = 144,416.94 × 33,953.50
  4. Step 4: Simplify right side
    96,297.58x = 4,903,460,572.29
  5. Step 5: Solve for x
    x = 4,903,460,572.29/96,297.58
  6. Step 6: Final answer
    x = 50,919.87

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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.