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Finding the Fourth Proportional to 55,842.24, 83,750.40 and 16,388.76

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Solution

The fourth proportional to 55,842.24, 83,750.40 and 16,388.76 is: 24,579.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,842.24 : 83,750.40 = 16,388.76 : x
  2. Step 2: Convert to fraction form
    55,842.24/83,750.40 = 16,388.76/x
  3. Step 3: Cross multiply
    55,842.24x = 83,750.40 × 16,388.76
  4. Step 4: Simplify right side
    55,842.24x = 1,372,565,205.50
  5. Step 5: Solve for x
    x = 1,372,565,205.50/55,842.24
  6. Step 6: Final answer
    x = 24,579.34

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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.