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Finding the Fourth Proportional to 32,001.34, 44,161.86 and 17,853.88

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Solution

The fourth proportional to 32,001.34, 44,161.86 and 17,853.88 is: 24,638.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,001.34 : 44,161.86 = 17,853.88 : x
  2. Step 2: Convert to fraction form
    32,001.34/44,161.86 = 17,853.88/x
  3. Step 3: Cross multiply
    32,001.34x = 44,161.86 × 17,853.88
  4. Step 4: Simplify right side
    32,001.34x = 788,460,549.02
  5. Step 5: Solve for x
    x = 788,460,549.02/32,001.34
  6. Step 6: Final answer
    x = 24,638.36

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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.