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Finding the Fourth Proportional to 32,412.88, 44,729.77 and 18,266.23

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Solution

The fourth proportional to 32,412.88, 44,729.77 and 18,266.23 is: 25,207.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,412.88 : 44,729.77 = 18,266.23 : x
  2. Step 2: Convert to fraction form
    32,412.88/44,729.77 = 18,266.23/x
  3. Step 3: Cross multiply
    32,412.88x = 44,729.77 × 18,266.23
  4. Step 4: Simplify right side
    32,412.88x = 817,044,043.02
  5. Step 5: Solve for x
    x = 817,044,043.02/32,412.88
  6. Step 6: Final answer
    x = 25,207.39

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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.