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Finding the Fourth Proportional to 53,800.80, 80,676.90 and 24,203.40

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Solution

The fourth proportional to 53,800.80, 80,676.90 and 24,203.40 is: 36,294.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,800.80 : 80,676.90 = 24,203.40 : x
  2. Step 2: Convert to fraction form
    53,800.80/80,676.90 = 24,203.40/x
  3. Step 3: Cross multiply
    53,800.80x = 80,676.90 × 24,203.40
  4. Step 4: Simplify right side
    53,800.80x = 1,952,655,281.46
  5. Step 5: Solve for x
    x = 1,952,655,281.46/53,800.80
  6. Step 6: Final answer
    x = 36,294.17

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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.