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Finding the Fourth Proportional to 57,781, 79,744.26 and 32,632.12

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Solution

The fourth proportional to 57,781, 79,744.26 and 32,632.12 is: 45,035.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,781 : 79,744.26 = 32,632.12 : x
  2. Step 2: Convert to fraction form
    57,781/79,744.26 = 32,632.12/x
  3. Step 3: Cross multiply
    57,781x = 79,744.26 × 32,632.12
  4. Step 4: Simplify right side
    57,781x = 2,602,224,261.63
  5. Step 5: Solve for x
    x = 2,602,224,261.63/57,781
  6. Step 6: Final answer
    x = 45,035.99

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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.