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Finding the Fourth Proportional to 62,454.30, 93,693 and 19,770.48

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Solution

The fourth proportional to 62,454.30, 93,693 and 19,770.48 is: 29,659.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,454.30 : 93,693 = 19,770.48 : x
  2. Step 2: Convert to fraction form
    62,454.30/93,693 = 19,770.48/x
  3. Step 3: Cross multiply
    62,454.30x = 93,693 × 19,770.48
  4. Step 4: Simplify right side
    62,454.30x = 1,852,355,582.64
  5. Step 5: Solve for x
    x = 1,852,355,582.64/62,454.30
  6. Step 6: Final answer
    x = 29,659.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.