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Finding the Fourth Proportional to 32,654, 45,062.58 and 17,750

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Solution

The fourth proportional to 32,654, 45,062.58 and 17,750 is: 24,495.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,654 : 45,062.58 = 17,750 : x
  2. Step 2: Convert to fraction form
    32,654/45,062.58 = 17,750/x
  3. Step 3: Cross multiply
    32,654x = 45,062.58 × 17,750
  4. Step 4: Simplify right side
    32,654x = 799,860,795
  5. Step 5: Solve for x
    x = 799,860,795/32,654
  6. Step 6: Final answer
    x = 24,495.03

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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.