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Finding the Fourth Proportional to 91,783.96, 126,663.30 and 50,947

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Solution

The fourth proportional to 91,783.96, 126,663.30 and 50,947 is: 70,307.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,783.96 : 126,663.30 = 50,947 : x
  2. Step 2: Convert to fraction form
    91,783.96/126,663.30 = 50,947/x
  3. Step 3: Cross multiply
    91,783.96x = 126,663.30 × 50,947
  4. Step 4: Simplify right side
    91,783.96x = 6,453,115,145.10
  5. Step 5: Solve for x
    x = 6,453,115,145.10/91,783.96
  6. Step 6: Final answer
    x = 70,307.66

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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.