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Finding the Fourth Proportional to 55,722.99, 76,904.60 and 34,523.67

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Solution

The fourth proportional to 55,722.99, 76,904.60 and 34,523.67 is: 47,646.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,722.99 : 76,904.60 = 34,523.67 : x
  2. Step 2: Convert to fraction form
    55,722.99/76,904.60 = 34,523.67/x
  3. Step 3: Cross multiply
    55,722.99x = 76,904.60 × 34,523.67
  4. Step 4: Simplify right side
    55,722.99x = 2,655,028,859.26
  5. Step 5: Solve for x
    x = 2,655,028,859.26/55,722.99
  6. Step 6: Final answer
    x = 47,646.92

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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.