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Finding the Fourth Proportional to 32,413, 44,728.82 and 18,265

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Solution

The fourth proportional to 32,413, 44,728.82 and 18,265 is: 25,205.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,413 : 44,728.82 = 18,265 : x
  2. Step 2: Convert to fraction form
    32,413/44,728.82 = 18,265/x
  3. Step 3: Cross multiply
    32,413x = 44,728.82 × 18,265
  4. Step 4: Simplify right side
    32,413x = 816,971,897.30
  5. Step 5: Solve for x
    x = 816,971,897.30/32,413
  6. Step 6: Final answer
    x = 25,205.07

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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.