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Finding the Fourth Proportional to 101,804.51, 152,706.77 and 31,683.85

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Solution

The fourth proportional to 101,804.51, 152,706.77 and 31,683.85 is: 47,525.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,804.51 : 152,706.77 = 31,683.85 : x
  2. Step 2: Convert to fraction form
    101,804.51/152,706.77 = 31,683.85/x
  3. Step 3: Cross multiply
    101,804.51x = 152,706.77 × 31,683.85
  4. Step 4: Simplify right side
    101,804.51x = 4,838,338,394.66
  5. Step 5: Solve for x
    x = 4,838,338,394.66/101,804.51
  6. Step 6: Final answer
    x = 47,525.78

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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.