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Finding the Fourth Proportional to 53,206.80, 79,771.80 and 29,840.40

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Solution

The fourth proportional to 53,206.80, 79,771.80 and 29,840.40 is: 44,739.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,206.80 : 79,771.80 = 29,840.40 : x
  2. Step 2: Convert to fraction form
    53,206.80/79,771.80 = 29,840.40/x
  3. Step 3: Cross multiply
    53,206.80x = 79,771.80 × 29,840.40
  4. Step 4: Simplify right side
    53,206.80x = 2,380,422,420.72
  5. Step 5: Solve for x
    x = 2,380,422,420.72/53,206.80
  6. Step 6: Final answer
    x = 44,739.06

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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.