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Finding the Fourth Proportional to 72,783.71, 100,441.32 and 40,952.64

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Solution

The fourth proportional to 72,783.71, 100,441.32 and 40,952.64 is: 56,514.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,783.71 : 100,441.32 = 40,952.64 : x
  2. Step 2: Convert to fraction form
    72,783.71/100,441.32 = 40,952.64/x
  3. Step 3: Cross multiply
    72,783.71x = 100,441.32 × 40,952.64
  4. Step 4: Simplify right side
    72,783.71x = 4,113,337,219.08
  5. Step 5: Solve for x
    x = 4,113,337,219.08/72,783.71
  6. Step 6: Final answer
    x = 56,514.53

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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.