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Finding the Fourth Proportional to 73,448.88, 110,153.64 and 31,886

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Solution

The fourth proportional to 73,448.88, 110,153.64 and 31,886 is: 47,820.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,448.88 : 110,153.64 = 31,886 : x
  2. Step 2: Convert to fraction form
    73,448.88/110,153.64 = 31,886/x
  3. Step 3: Cross multiply
    73,448.88x = 110,153.64 × 31,886
  4. Step 4: Simplify right side
    73,448.88x = 3,512,358,965.04
  5. Step 5: Solve for x
    x = 3,512,358,965.04/73,448.88
  6. Step 6: Final answer
    x = 47,820.46

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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.