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Finding the Fourth Proportional to 32,832.64, 45,290.75 and 21,520.38

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Solution

The fourth proportional to 32,832.64, 45,290.75 and 21,520.38 is: 29,686.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,832.64 : 45,290.75 = 21,520.38 : x
  2. Step 2: Convert to fraction form
    32,832.64/45,290.75 = 21,520.38/x
  3. Step 3: Cross multiply
    32,832.64x = 45,290.75 × 21,520.38
  4. Step 4: Simplify right side
    32,832.64x = 974,674,212.72
  5. Step 5: Solve for x
    x = 974,674,212.72/32,832.64
  6. Step 6: Final answer
    x = 29,686.13

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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.