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Finding the Fourth Proportional to 72,783.58, 100,441.16 and 40,952.52

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Solution

The fourth proportional to 72,783.58, 100,441.16 and 40,952.52 is: 56,514.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,783.58 : 100,441.16 = 40,952.52 : x
  2. Step 2: Convert to fraction form
    72,783.58/100,441.16 = 40,952.52/x
  3. Step 3: Cross multiply
    72,783.58x = 100,441.16 × 40,952.52
  4. Step 4: Simplify right side
    72,783.58x = 4,113,318,613.72
  5. Step 5: Solve for x
    x = 4,113,318,613.72/72,783.58
  6. Step 6: Final answer
    x = 56,514.38

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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.