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Finding the Fourth Proportional to 41,316, 57,020.94 and 24,549

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Solution

The fourth proportional to 41,316, 57,020.94 and 24,549 is: 33,880.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,316 : 57,020.94 = 24,549 : x
  2. Step 2: Convert to fraction form
    41,316/57,020.94 = 24,549/x
  3. Step 3: Cross multiply
    41,316x = 57,020.94 × 24,549
  4. Step 4: Simplify right side
    41,316x = 1,399,807,056.06
  5. Step 5: Solve for x
    x = 1,399,807,056.06/41,316
  6. Step 6: Final answer
    x = 33,880.51

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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.