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Finding the Fourth Proportional to 75,735.46, 104,514.46 and 41,280.16

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Solution

The fourth proportional to 75,735.46, 104,514.46 and 41,280.16 is: 56,966.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,735.46 : 104,514.46 = 41,280.16 : x
  2. Step 2: Convert to fraction form
    75,735.46/104,514.46 = 41,280.16/x
  3. Step 3: Cross multiply
    75,735.46x = 104,514.46 × 41,280.16
  4. Step 4: Simplify right side
    75,735.46x = 4,314,373,631.11
  5. Step 5: Solve for x
    x = 4,314,373,631.11/75,735.46
  6. Step 6: Final answer
    x = 56,966.36

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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.