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Finding the Fourth Proportional to 35,048, 48,370.70 and 23,136.14

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Solution

The fourth proportional to 35,048, 48,370.70 and 23,136.14 is: 31,930.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,048 : 48,370.70 = 23,136.14 : x
  2. Step 2: Convert to fraction form
    35,048/48,370.70 = 23,136.14/x
  3. Step 3: Cross multiply
    35,048x = 48,370.70 × 23,136.14
  4. Step 4: Simplify right side
    35,048x = 1,119,111,287.10
  5. Step 5: Solve for x
    x = 1,119,111,287.10/35,048
  6. Step 6: Final answer
    x = 31,930.82

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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.