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Finding the Fourth Proportional to 78,267.99, 117,411.21 and 24,941.28

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Solution

The fourth proportional to 78,267.99, 117,411.21 and 24,941.28 is: 37,414.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,267.99 : 117,411.21 = 24,941.28 : x
  2. Step 2: Convert to fraction form
    78,267.99/117,411.21 = 24,941.28/x
  3. Step 3: Cross multiply
    78,267.99x = 117,411.21 × 24,941.28
  4. Step 4: Simplify right side
    78,267.99x = 2,928,385,863.75
  5. Step 5: Solve for x
    x = 2,928,385,863.75/78,267.99
  6. Step 6: Final answer
    x = 37,414.86

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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.