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Finding the Fourth Proportional to 35,325.49, 48,715.77 and 23,204.58

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Solution

The fourth proportional to 35,325.49, 48,715.77 and 23,204.58 is: 32,000.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,325.49 : 48,715.77 = 23,204.58 : x
  2. Step 2: Convert to fraction form
    35,325.49/48,715.77 = 23,204.58/x
  3. Step 3: Cross multiply
    35,325.49x = 48,715.77 × 23,204.58
  4. Step 4: Simplify right side
    35,325.49x = 1,130,428,982.23
  5. Step 5: Solve for x
    x = 1,130,428,982.23/35,325.49
  6. Step 6: Final answer
    x = 32,000.38

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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.