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Finding the Fourth Proportional to 69,012.12, 103,492.72 and 24,627

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Solution

The fourth proportional to 69,012.12, 103,492.72 and 24,627 is: 36,931.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,012.12 : 103,492.72 = 24,627 : x
  2. Step 2: Convert to fraction form
    69,012.12/103,492.72 = 24,627/x
  3. Step 3: Cross multiply
    69,012.12x = 103,492.72 × 24,627
  4. Step 4: Simplify right side
    69,012.12x = 2,548,715,215.44
  5. Step 5: Solve for x
    x = 2,548,715,215.44/69,012.12
  6. Step 6: Final answer
    x = 36,931.41

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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.