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Finding the Fourth Proportional to 101,973.72, 152,960.64 and 31,859.04

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Solution

The fourth proportional to 101,973.72, 152,960.64 and 31,859.04 is: 47,788.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,973.72 : 152,960.64 = 31,859.04 : x
  2. Step 2: Convert to fraction form
    101,973.72/152,960.64 = 31,859.04/x
  3. Step 3: Cross multiply
    101,973.72x = 152,960.64 × 31,859.04
  4. Step 4: Simplify right side
    101,973.72x = 4,873,179,148.19
  5. Step 5: Solve for x
    x = 4,873,179,148.19/101,973.72
  6. Step 6: Final answer
    x = 47,788.58

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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.