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Finding the Fourth Proportional to 32,856, 45,341.64 and 17,952

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Solution

The fourth proportional to 32,856, 45,341.64 and 17,952 is: 24,773.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,856 : 45,341.64 = 17,952 : x
  2. Step 2: Convert to fraction form
    32,856/45,341.64 = 17,952/x
  3. Step 3: Cross multiply
    32,856x = 45,341.64 × 17,952
  4. Step 4: Simplify right side
    32,856x = 813,973,121.28
  5. Step 5: Solve for x
    x = 813,973,121.28/32,856
  6. Step 6: Final answer
    x = 24,773.96

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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.