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Finding the Fourth Proportional to 32,657.13, 45,071.09 and 19,229.62

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Solution

The fourth proportional to 32,657.13, 45,071.09 and 19,229.62 is: 26,539.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,657.13 : 45,071.09 = 19,229.62 : x
  2. Step 2: Convert to fraction form
    32,657.13/45,071.09 = 19,229.62/x
  3. Step 3: Cross multiply
    32,657.13x = 45,071.09 × 19,229.62
  4. Step 4: Simplify right side
    32,657.13x = 866,699,933.69
  5. Step 5: Solve for x
    x = 866,699,933.69/32,657.13
  6. Step 6: Final answer
    x = 26,539.38

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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.