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Finding the Fourth Proportional to 61,828.38, 85,323.69 and 33,534

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Solution

The fourth proportional to 61,828.38, 85,323.69 and 33,534 is: 46,277.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,828.38 : 85,323.69 = 33,534 : x
  2. Step 2: Convert to fraction form
    61,828.38/85,323.69 = 33,534/x
  3. Step 3: Cross multiply
    61,828.38x = 85,323.69 × 33,534
  4. Step 4: Simplify right side
    61,828.38x = 2,861,244,620.46
  5. Step 5: Solve for x
    x = 2,861,244,620.46/61,828.38
  6. Step 6: Final answer
    x = 46,277.21

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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.