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Finding the Fourth Proportional to 100,828.62, 151,243.65 and 37,663.02

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Solution

The fourth proportional to 100,828.62, 151,243.65 and 37,663.02 is: 56,494.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,828.62 : 151,243.65 = 37,663.02 : x
  2. Step 2: Convert to fraction form
    100,828.62/151,243.65 = 37,663.02/x
  3. Step 3: Cross multiply
    100,828.62x = 151,243.65 × 37,663.02
  4. Step 4: Simplify right side
    100,828.62x = 5,696,292,614.82
  5. Step 5: Solve for x
    x = 5,696,292,614.82/100,828.62
  6. Step 6: Final answer
    x = 56,494.80

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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.