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Finding the Fourth Proportional to 101,727, 152,590.53 and 31,606.32

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Solution

The fourth proportional to 101,727, 152,590.53 and 31,606.32 is: 47,409.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,727 : 152,590.53 = 31,606.32 : x
  2. Step 2: Convert to fraction form
    101,727/152,590.53 = 31,606.32/x
  3. Step 3: Cross multiply
    101,727x = 152,590.53 × 31,606.32
  4. Step 4: Simplify right side
    101,727x = 4,822,825,120.15
  5. Step 5: Solve for x
    x = 4,822,825,120.15/101,727
  6. Step 6: Final answer
    x = 47,409.49

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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.