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Finding the Fourth Proportional to 100,996.76, 151,495.50 and 30,875.78

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Solution

The fourth proportional to 100,996.76, 151,495.50 and 30,875.78 is: 46,313.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,996.76 : 151,495.50 = 30,875.78 : x
  2. Step 2: Convert to fraction form
    100,996.76/151,495.50 = 30,875.78/x
  3. Step 3: Cross multiply
    100,996.76x = 151,495.50 × 30,875.78
  4. Step 4: Simplify right side
    100,996.76x = 4,677,541,728.99
  5. Step 5: Solve for x
    x = 4,677,541,728.99/100,996.76
  6. Step 6: Final answer
    x = 46,313.78

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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.