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Finding the Fourth Proportional to 63,924.80, 96,002.40 and 46,414.40

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Solution

The fourth proportional to 63,924.80, 96,002.40 and 46,414.40 is: 69,705.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,924.80 : 96,002.40 = 46,414.40 : x
  2. Step 2: Convert to fraction form
    63,924.80/96,002.40 = 46,414.40/x
  3. Step 3: Cross multiply
    63,924.80x = 96,002.40 × 46,414.40
  4. Step 4: Simplify right side
    63,924.80x = 4,455,893,794.56
  5. Step 5: Solve for x
    x = 4,455,893,794.56/63,924.80
  6. Step 6: Final answer
    x = 69,705.24

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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.