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Finding the Fourth Proportional to 101,723.50, 152,585.28 and 31,602.82

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Solution

The fourth proportional to 101,723.50, 152,585.28 and 31,602.82 is: 47,404.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,723.50 : 152,585.28 = 31,602.82 : x
  2. Step 2: Convert to fraction form
    101,723.50/152,585.28 = 31,602.82/x
  3. Step 3: Cross multiply
    101,723.50x = 152,585.28 × 31,602.82
  4. Step 4: Simplify right side
    101,723.50x = 4,822,125,138.49
  5. Step 5: Solve for x
    x = 4,822,125,138.49/101,723.50
  6. Step 6: Final answer
    x = 47,404.24

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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.