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Finding the Fourth Proportional to 32,876.77, 45,316.63 and 25,694

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Solution

The fourth proportional to 32,876.77, 45,316.63 and 25,694 is: 35,416.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,876.77 : 45,316.63 = 25,694 : x
  2. Step 2: Convert to fraction form
    32,876.77/45,316.63 = 25,694/x
  3. Step 3: Cross multiply
    32,876.77x = 45,316.63 × 25,694
  4. Step 4: Simplify right side
    32,876.77x = 1,164,365,491.22
  5. Step 5: Solve for x
    x = 1,164,365,491.22/32,876.77
  6. Step 6: Final answer
    x = 35,416.05

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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.