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Finding the Fourth Proportional to 59,905, 82,668.90 and 33,409

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Solution

The fourth proportional to 59,905, 82,668.90 and 33,409 is: 46,104.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,905 : 82,668.90 = 33,409 : x
  2. Step 2: Convert to fraction form
    59,905/82,668.90 = 33,409/x
  3. Step 3: Cross multiply
    59,905x = 82,668.90 × 33,409
  4. Step 4: Simplify right side
    59,905x = 2,761,885,280.10
  5. Step 5: Solve for x
    x = 2,761,885,280.10/59,905
  6. Step 6: Final answer
    x = 46,104.42

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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.