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Finding the Fourth Proportional to 61,653.84, 85,082.34 and 33,359.52

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Solution

The fourth proportional to 61,653.84, 85,082.34 and 33,359.52 is: 46,036.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,653.84 : 85,082.34 = 33,359.52 : x
  2. Step 2: Convert to fraction form
    61,653.84/85,082.34 = 33,359.52/x
  3. Step 3: Cross multiply
    61,653.84x = 85,082.34 × 33,359.52
  4. Step 4: Simplify right side
    61,653.84x = 2,838,306,022.88
  5. Step 5: Solve for x
    x = 2,838,306,022.88/61,653.84
  6. Step 6: Final answer
    x = 46,036.16

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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.