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Finding the Fourth Proportional to 72,765.57, 100,416.34 and 40,934.50

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Solution

The fourth proportional to 72,765.57, 100,416.34 and 40,934.50 is: 56,489.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,765.57 : 100,416.34 = 40,934.50 : x
  2. Step 2: Convert to fraction form
    72,765.57/100,416.34 = 40,934.50/x
  3. Step 3: Cross multiply
    72,765.57x = 100,416.34 × 40,934.50
  4. Step 4: Simplify right side
    72,765.57x = 4,110,492,669.73
  5. Step 5: Solve for x
    x = 4,110,492,669.73/72,765.57
  6. Step 6: Final answer
    x = 56,489.53

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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.