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Finding the Fourth Proportional to 100,929.00, 151,424.64 and 37,755.50

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Solution

The fourth proportional to 100,929.00, 151,424.64 and 37,755.50 is: 56,644.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,929.00 : 151,424.64 = 37,755.50 : x
  2. Step 2: Convert to fraction form
    100,929.00/151,424.64 = 37,755.50/x
  3. Step 3: Cross multiply
    100,929.00x = 151,424.64 × 37,755.50
  4. Step 4: Simplify right side
    100,929.00x = 5,717,112,806.74
  5. Step 5: Solve for x
    x = 5,717,112,806.74/100,929.00
  6. Step 6: Final answer
    x = 56,644.90

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Why These Related Problems?

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