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Finding the Fourth Proportional to 60,629, 83,668.02 and 34,133

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Solution

The fourth proportional to 60,629, 83,668.02 and 34,133 is: 47,103.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,629 : 83,668.02 = 34,133 : x
  2. Step 2: Convert to fraction form
    60,629/83,668.02 = 34,133/x
  3. Step 3: Cross multiply
    60,629x = 83,668.02 × 34,133
  4. Step 4: Simplify right side
    60,629x = 2,855,840,526.66
  5. Step 5: Solve for x
    x = 2,855,840,526.66/60,629
  6. Step 6: Final answer
    x = 47,103.54

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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.