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Finding the Fourth Proportional to 55,657.56, 83,500 and 16,215.04

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Solution

The fourth proportional to 55,657.56, 83,500 and 16,215.04 is: 24,326.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,657.56 : 83,500 = 16,215.04 : x
  2. Step 2: Convert to fraction form
    55,657.56/83,500 = 16,215.04/x
  3. Step 3: Cross multiply
    55,657.56x = 83,500 × 16,215.04
  4. Step 4: Simplify right side
    55,657.56x = 1,353,955,840
  5. Step 5: Solve for x
    x = 1,353,955,840/55,657.56
  6. Step 6: Final answer
    x = 24,326.54

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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.