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Finding the Fourth Proportional to 46,638.34, 69,978.12 and 24,446.41

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Solution

The fourth proportional to 46,638.34, 69,978.12 and 24,446.41 is: 36,680.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,638.34 : 69,978.12 = 24,446.41 : x
  2. Step 2: Convert to fraction form
    46,638.34/69,978.12 = 24,446.41/x
  3. Step 3: Cross multiply
    46,638.34x = 69,978.12 × 24,446.41
  4. Step 4: Simplify right side
    46,638.34x = 1,710,713,812.55
  5. Step 5: Solve for x
    x = 1,710,713,812.55/46,638.34
  6. Step 6: Final answer
    x = 36,680.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.