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Finding the Fourth Proportional to 41,148, 56,798.82 and 24,381

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Solution

The fourth proportional to 41,148, 56,798.82 and 24,381 is: 33,654.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,148 : 56,798.82 = 24,381 : x
  2. Step 2: Convert to fraction form
    41,148/56,798.82 = 24,381/x
  3. Step 3: Cross multiply
    41,148x = 56,798.82 × 24,381
  4. Step 4: Simplify right side
    41,148x = 1,384,812,030.42
  5. Step 5: Solve for x
    x = 1,384,812,030.42/41,148
  6. Step 6: Final answer
    x = 33,654.42

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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.