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Finding the Fourth Proportional to 59,811, 82,534.30 and 34,325.16

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Solution

The fourth proportional to 59,811, 82,534.30 and 34,325.16 is: 47,365.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,811 : 82,534.30 = 34,325.16 : x
  2. Step 2: Convert to fraction form
    59,811/82,534.30 = 34,325.16/x
  3. Step 3: Cross multiply
    59,811x = 82,534.30 × 34,325.16
  4. Step 4: Simplify right side
    59,811x = 2,833,003,052.99
  5. Step 5: Solve for x
    x = 2,833,003,052.99/59,811
  6. Step 6: Final answer
    x = 47,365.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.