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Finding the Fourth Proportional to 41,290.42, 56,971 and 24,295.40

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Solution

The fourth proportional to 41,290.42, 56,971 and 24,295.40 is: 33,521.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,290.42 : 56,971 = 24,295.40 : x
  2. Step 2: Convert to fraction form
    41,290.42/56,971 = 24,295.40/x
  3. Step 3: Cross multiply
    41,290.42x = 56,971 × 24,295.40
  4. Step 4: Simplify right side
    41,290.42x = 1,384,133,233.40
  5. Step 5: Solve for x
    x = 1,384,133,233.40/41,290.42
  6. Step 6: Final answer
    x = 33,521.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.