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Finding the Fourth Proportional to 32,358, 48,536.94 and 18,497.28

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Solution

The fourth proportional to 32,358, 48,536.94 and 18,497.28 is: 27,745.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,358 : 48,536.94 = 18,497.28 : x
  2. Step 2: Convert to fraction form
    32,358/48,536.94 = 18,497.28/x
  3. Step 3: Cross multiply
    32,358x = 48,536.94 × 18,497.28
  4. Step 4: Simplify right side
    32,358x = 897,801,369.52
  5. Step 5: Solve for x
    x = 897,801,369.52/32,358
  6. Step 6: Final answer
    x = 27,745.89

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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.