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Finding the Fourth Proportional to 100,959.58, 151,342.94 and 37,762.57

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Solution

The fourth proportional to 100,959.58, 151,342.94 and 37,762.57 is: 56,607.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,959.58 : 151,342.94 = 37,762.57 : x
  2. Step 2: Convert to fraction form
    100,959.58/151,342.94 = 37,762.57/x
  3. Step 3: Cross multiply
    100,959.58x = 151,342.94 × 37,762.57
  4. Step 4: Simplify right side
    100,959.58x = 5,715,098,176.94
  5. Step 5: Solve for x
    x = 5,715,098,176.94/100,959.58
  6. Step 6: Final answer
    x = 56,607.78

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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.