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Finding the Fourth Proportional to 124,016.30, 186,004.54 and 34,038

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Solution

The fourth proportional to 124,016.30, 186,004.54 and 34,038 is: 51,051.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,016.30 : 186,004.54 = 34,038 : x
  2. Step 2: Convert to fraction form
    124,016.30/186,004.54 = 34,038/x
  3. Step 3: Cross multiply
    124,016.30x = 186,004.54 × 34,038
  4. Step 4: Simplify right side
    124,016.30x = 6,331,222,532.52
  5. Step 5: Solve for x
    x = 6,331,222,532.52/124,016.30
  6. Step 6: Final answer
    x = 51,051.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.