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Finding the Fourth Proportional to 53,777.79, 80,498.19 and 34,777.21

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Solution

The fourth proportional to 53,777.79, 80,498.19 and 34,777.21 is: 52,056.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,777.79 : 80,498.19 = 34,777.21 : x
  2. Step 2: Convert to fraction form
    53,777.79/80,498.19 = 34,777.21/x
  3. Step 3: Cross multiply
    53,777.79x = 80,498.19 × 34,777.21
  4. Step 4: Simplify right side
    53,777.79x = 2,799,502,458.25
  5. Step 5: Solve for x
    x = 2,799,502,458.25/53,777.79
  6. Step 6: Final answer
    x = 52,056.85

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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.