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Finding the Fourth Proportional to 73,735, 110,602.91 and 18,331

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Solution

The fourth proportional to 73,735, 110,602.91 and 18,331 is: 27,496.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,735 : 110,602.91 = 18,331 : x
  2. Step 2: Convert to fraction form
    73,735/110,602.91 = 18,331/x
  3. Step 3: Cross multiply
    73,735x = 110,602.91 × 18,331
  4. Step 4: Simplify right side
    73,735x = 2,027,461,851.56
  5. Step 5: Solve for x
    x = 2,027,461,851.56/73,735
  6. Step 6: Final answer
    x = 27,496.60

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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.