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Finding the Fourth Proportional to 50,657.13, 75,944.70 and 21,097.17

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Solution

The fourth proportional to 50,657.13, 75,944.70 and 21,097.17 is: 31,628.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,657.13 : 75,944.70 = 21,097.17 : x
  2. Step 2: Convert to fraction form
    50,657.13/75,944.70 = 21,097.17/x
  3. Step 3: Cross multiply
    50,657.13x = 75,944.70 × 21,097.17
  4. Step 4: Simplify right side
    50,657.13x = 1,602,218,246.50
  5. Step 5: Solve for x
    x = 1,602,218,246.50/50,657.13
  6. Step 6: Final answer
    x = 31,628.68

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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.