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Finding the Fourth Proportional to 53,854.78, 80,783.25 and 14,411.83

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Solution

The fourth proportional to 53,854.78, 80,783.25 and 14,411.83 is: 21,618.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,854.78 : 80,783.25 = 14,411.83 : x
  2. Step 2: Convert to fraction form
    53,854.78/80,783.25 = 14,411.83/x
  3. Step 3: Cross multiply
    53,854.78x = 80,783.25 × 14,411.83
  4. Step 4: Simplify right side
    53,854.78x = 1,164,234,465.85
  5. Step 5: Solve for x
    x = 1,164,234,465.85/53,854.78
  6. Step 6: Final answer
    x = 21,618.03

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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.