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Finding the Fourth Proportional to 32,625, 45,026.34 and 19,377

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Solution

The fourth proportional to 32,625, 45,026.34 and 19,377 is: 26,742.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,625 : 45,026.34 = 19,377 : x
  2. Step 2: Convert to fraction form
    32,625/45,026.34 = 19,377/x
  3. Step 3: Cross multiply
    32,625x = 45,026.34 × 19,377
  4. Step 4: Simplify right side
    32,625x = 872,475,390.18
  5. Step 5: Solve for x
    x = 872,475,390.18/32,625
  6. Step 6: Final answer
    x = 26,742.54

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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.