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Finding the Fourth Proportional to 32,794.16, 45,259.96 and 20,712.20

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Solution

The fourth proportional to 32,794.16, 45,259.96 and 20,712.20 is: 28,585.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,794.16 : 45,259.96 = 20,712.20 : x
  2. Step 2: Convert to fraction form
    32,794.16/45,259.96 = 20,712.20/x
  3. Step 3: Cross multiply
    32,794.16x = 45,259.96 × 20,712.20
  4. Step 4: Simplify right side
    32,794.16x = 937,433,343.51
  5. Step 5: Solve for x
    x = 937,433,343.51/32,794.16
  6. Step 6: Final answer
    x = 28,585.37

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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.