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Finding the Fourth Proportional to 74,209.23, 102,407.57 and 40,217.42

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Solution

The fourth proportional to 74,209.23, 102,407.57 and 40,217.42 is: 55,499.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,209.23 : 102,407.57 = 40,217.42 : x
  2. Step 2: Convert to fraction form
    74,209.23/102,407.57 = 40,217.42/x
  3. Step 3: Cross multiply
    74,209.23x = 102,407.57 × 40,217.42
  4. Step 4: Simplify right side
    74,209.23x = 4,118,567,842.38
  5. Step 5: Solve for x
    x = 4,118,567,842.38/74,209.23
  6. Step 6: Final answer
    x = 55,499.40

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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.