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Finding the Fourth Proportional to 32,002.56, 44,163.66 and 17,856

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Solution

The fourth proportional to 32,002.56, 44,163.66 and 17,856 is: 24,641.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,002.56 : 44,163.66 = 17,856 : x
  2. Step 2: Convert to fraction form
    32,002.56/44,163.66 = 17,856/x
  3. Step 3: Cross multiply
    32,002.56x = 44,163.66 × 17,856
  4. Step 4: Simplify right side
    32,002.56x = 788,586,312.96
  5. Step 5: Solve for x
    x = 788,586,312.96/32,002.56
  6. Step 6: Final answer
    x = 24,641.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.