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Finding the Fourth Proportional to 101,712.96, 152,602.56 and 49,128.48

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Solution

The fourth proportional to 101,712.96, 152,602.56 and 49,128.48 is: 73,708.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,712.96 : 152,602.56 = 49,128.48 : x
  2. Step 2: Convert to fraction form
    101,712.96/152,602.56 = 49,128.48/x
  3. Step 3: Cross multiply
    101,712.96x = 152,602.56 × 49,128.48
  4. Step 4: Simplify right side
    101,712.96x = 7,497,131,816.91
  5. Step 5: Solve for x
    x = 7,497,131,816.91/101,712.96
  6. Step 6: Final answer
    x = 73,708.72

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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.