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Finding the Fourth Proportional to 45,858.34, 63,284.85 and 29,933.38

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Solution

The fourth proportional to 45,858.34, 63,284.85 and 29,933.38 is: 41,308.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,858.34 : 63,284.85 = 29,933.38 : x
  2. Step 2: Convert to fraction form
    45,858.34/63,284.85 = 29,933.38/x
  3. Step 3: Cross multiply
    45,858.34x = 63,284.85 × 29,933.38
  4. Step 4: Simplify right side
    45,858.34x = 1,894,329,463.29
  5. Step 5: Solve for x
    x = 1,894,329,463.29/45,858.34
  6. Step 6: Final answer
    x = 41,308.29

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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.