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Finding the Fourth Proportional to 72,767.52, 100,406.16 and 40,924.80

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Solution

The fourth proportional to 72,767.52, 100,406.16 and 40,924.80 is: 56,468.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,767.52 : 100,406.16 = 40,924.80 : x
  2. Step 2: Convert to fraction form
    72,767.52/100,406.16 = 40,924.80/x
  3. Step 3: Cross multiply
    72,767.52x = 100,406.16 × 40,924.80
  4. Step 4: Simplify right side
    72,767.52x = 4,109,102,016.77
  5. Step 5: Solve for x
    x = 4,109,102,016.77/72,767.52
  6. Step 6: Final answer
    x = 56,468.90

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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.