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Finding the Fourth Proportional to 46,654.52, 69,919.14 and 25,562.84

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Solution

The fourth proportional to 46,654.52, 69,919.14 and 25,562.84 is: 38,309.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,654.52 : 69,919.14 = 25,562.84 : x
  2. Step 2: Convert to fraction form
    46,654.52/69,919.14 = 25,562.84/x
  3. Step 3: Cross multiply
    46,654.52x = 69,919.14 × 25,562.84
  4. Step 4: Simplify right side
    46,654.52x = 1,787,331,788.76
  5. Step 5: Solve for x
    x = 1,787,331,788.76/46,654.52
  6. Step 6: Final answer
    x = 38,309.94

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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.