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Finding the Fourth Proportional to 70,984.97, 106,454.40 and 23,587.32

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Solution

The fourth proportional to 70,984.97, 106,454.40 and 23,587.32 is: 35,373.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,984.97 : 106,454.40 = 23,587.32 : x
  2. Step 2: Convert to fraction form
    70,984.97/106,454.40 = 23,587.32/x
  3. Step 3: Cross multiply
    70,984.97x = 106,454.40 × 23,587.32
  4. Step 4: Simplify right side
    70,984.97x = 2,510,973,998.21
  5. Step 5: Solve for x
    x = 2,510,973,998.21/70,984.97
  6. Step 6: Final answer
    x = 35,373.32

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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.