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Finding the Fourth Proportional to 41,221.38, 56,885.50 and 23,316

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Solution

The fourth proportional to 41,221.38, 56,885.50 and 23,316 is: 32,176.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,221.38 : 56,885.50 = 23,316 : x
  2. Step 2: Convert to fraction form
    41,221.38/56,885.50 = 23,316/x
  3. Step 3: Cross multiply
    41,221.38x = 56,885.50 × 23,316
  4. Step 4: Simplify right side
    41,221.38x = 1,326,342,318
  5. Step 5: Solve for x
    x = 1,326,342,318/41,221.38
  6. Step 6: Final answer
    x = 32,176.08

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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.