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Finding the Fourth Proportional to 46,638.60, 69,978.52 and 24,446.66

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Solution

The fourth proportional to 46,638.60, 69,978.52 and 24,446.66 is: 36,680.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,638.60 : 69,978.52 = 24,446.66 : x
  2. Step 2: Convert to fraction form
    46,638.60/69,978.52 = 24,446.66/x
  3. Step 3: Cross multiply
    46,638.60x = 69,978.52 × 24,446.66
  4. Step 4: Simplify right side
    46,638.60x = 1,710,741,085.74
  5. Step 5: Solve for x
    x = 1,710,741,085.74/46,638.60
  6. Step 6: Final answer
    x = 36,680.80

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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.