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Finding the Fourth Proportional to 76,409.52, 105,446.28 and 46,189.44

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Solution

The fourth proportional to 76,409.52, 105,446.28 and 46,189.44 is: 63,742.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,409.52 : 105,446.28 = 46,189.44 : x
  2. Step 2: Convert to fraction form
    76,409.52/105,446.28 = 46,189.44/x
  3. Step 3: Cross multiply
    76,409.52x = 105,446.28 × 46,189.44
  4. Step 4: Simplify right side
    76,409.52x = 4,870,504,623.28
  5. Step 5: Solve for x
    x = 4,870,504,623.28/76,409.52
  6. Step 6: Final answer
    x = 63,742.12

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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.