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Finding the Fourth Proportional to 123,463.36, 185,185.44 and 34,712

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Solution

The fourth proportional to 123,463.36, 185,185.44 and 34,712 is: 52,065.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,463.36 : 185,185.44 = 34,712 : x
  2. Step 2: Convert to fraction form
    123,463.36/185,185.44 = 34,712/x
  3. Step 3: Cross multiply
    123,463.36x = 185,185.44 × 34,712
  4. Step 4: Simplify right side
    123,463.36x = 6,428,156,993.28
  5. Step 5: Solve for x
    x = 6,428,156,993.28/123,463.36
  6. Step 6: Final answer
    x = 52,065.30

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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.