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Finding the Fourth Proportional to 35,046, 48,402.36 and 23,161.68

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Solution

The fourth proportional to 35,046, 48,402.36 and 23,161.68 is: 31,988.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,046 : 48,402.36 = 23,161.68 : x
  2. Step 2: Convert to fraction form
    35,046/48,402.36 = 23,161.68/x
  3. Step 3: Cross multiply
    35,046x = 48,402.36 × 23,161.68
  4. Step 4: Simplify right side
    35,046x = 1,121,079,973.56
  5. Step 5: Solve for x
    x = 1,121,079,973.56/35,046
  6. Step 6: Final answer
    x = 31,988.81

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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.