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Finding the Fourth Proportional to 35,012, 48,302.16 and 23,080.88

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Solution

The fourth proportional to 35,012, 48,302.16 and 23,080.88 is: 31,842.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,012 : 48,302.16 = 23,080.88 : x
  2. Step 2: Convert to fraction form
    35,012/48,302.16 = 23,080.88/x
  3. Step 3: Cross multiply
    35,012x = 48,302.16 × 23,080.88
  4. Step 4: Simplify right side
    35,012x = 1,114,856,358.70
  5. Step 5: Solve for x
    x = 1,114,856,358.70/35,012
  6. Step 6: Final answer
    x = 31,842.12

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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.