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Finding the Fourth Proportional to 32,956, 45,490.32 and 20,035.18

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Solution

The fourth proportional to 32,956, 45,490.32 and 20,035.18 is: 27,655.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,956 : 45,490.32 = 20,035.18 : x
  2. Step 2: Convert to fraction form
    32,956/45,490.32 = 20,035.18/x
  3. Step 3: Cross multiply
    32,956x = 45,490.32 × 20,035.18
  4. Step 4: Simplify right side
    32,956x = 911,406,749.46
  5. Step 5: Solve for x
    x = 911,406,749.46/32,956
  6. Step 6: Final answer
    x = 27,655.26

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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.