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Finding the Fourth Proportional to 47,106, 70,496.07 and 29,086.83

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Solution

The fourth proportional to 47,106, 70,496.07 and 29,086.83 is: 43,529.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,106 : 70,496.07 = 29,086.83 : x
  2. Step 2: Convert to fraction form
    47,106/70,496.07 = 29,086.83/x
  3. Step 3: Cross multiply
    47,106x = 70,496.07 × 29,086.83
  4. Step 4: Simplify right side
    47,106x = 2,050,507,203.76
  5. Step 5: Solve for x
    x = 2,050,507,203.76/47,106
  6. Step 6: Final answer
    x = 43,529.64

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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.