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Finding the Fourth Proportional to 72,776.18, 100,432.05 and 40,945.14

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Solution

The fourth proportional to 72,776.18, 100,432.05 and 40,945.14 is: 56,504.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,776.18 : 100,432.05 = 40,945.14 : x
  2. Step 2: Convert to fraction form
    72,776.18/100,432.05 = 40,945.14/x
  3. Step 3: Cross multiply
    72,776.18x = 100,432.05 × 40,945.14
  4. Step 4: Simplify right side
    72,776.18x = 4,112,204,347.74
  5. Step 5: Solve for x
    x = 4,112,204,347.74/72,776.18
  6. Step 6: Final answer
    x = 56,504.81

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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.