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Finding the Fourth Proportional to 81,980.10, 113,136.76 and 50,139

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Solution

The fourth proportional to 81,980.10, 113,136.76 and 50,139 is: 69,194.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,980.10 : 113,136.76 = 50,139 : x
  2. Step 2: Convert to fraction form
    81,980.10/113,136.76 = 50,139/x
  3. Step 3: Cross multiply
    81,980.10x = 113,136.76 × 50,139
  4. Step 4: Simplify right side
    81,980.10x = 5,672,564,009.64
  5. Step 5: Solve for x
    x = 5,672,564,009.64/81,980.10
  6. Step 6: Final answer
    x = 69,194.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.