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Finding the Fourth Proportional to 60,805.38, 83,913.46 and 33,948.20

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Solution

The fourth proportional to 60,805.38, 83,913.46 and 33,948.20 is: 46,849.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,805.38 : 83,913.46 = 33,948.20 : x
  2. Step 2: Convert to fraction form
    60,805.38/83,913.46 = 33,948.20/x
  3. Step 3: Cross multiply
    60,805.38x = 83,913.46 × 33,948.20
  4. Step 4: Simplify right side
    60,805.38x = 2,848,710,922.77
  5. Step 5: Solve for x
    x = 2,848,710,922.77/60,805.38
  6. Step 6: Final answer
    x = 46,849.65

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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.