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Finding the Fourth Proportional to 76,418.96, 105,456.48 and 44,591

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Solution

The fourth proportional to 76,418.96, 105,456.48 and 44,591 is: 61,534.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,418.96 : 105,456.48 = 44,591 : x
  2. Step 2: Convert to fraction form
    76,418.96/105,456.48 = 44,591/x
  3. Step 3: Cross multiply
    76,418.96x = 105,456.48 × 44,591
  4. Step 4: Simplify right side
    76,418.96x = 4,702,409,899.68
  5. Step 5: Solve for x
    x = 4,702,409,899.68/76,418.96
  6. Step 6: Final answer
    x = 61,534.60

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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.