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Finding the Fourth Proportional to 101,969.97, 152,954.96 and 31,854.75

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Solution

The fourth proportional to 101,969.97, 152,954.96 and 31,854.75 is: 47,782.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,969.97 : 152,954.96 = 31,854.75 : x
  2. Step 2: Convert to fraction form
    101,969.97/152,954.96 = 31,854.75/x
  3. Step 3: Cross multiply
    101,969.97x = 152,954.96 × 31,854.75
  4. Step 4: Simplify right side
    101,969.97x = 4,872,341,852.79
  5. Step 5: Solve for x
    x = 4,872,341,852.79/101,969.97
  6. Step 6: Final answer
    x = 47,782.13

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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.