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Finding the Fourth Proportional to 32,763.42, 45,167.72 and 27,707.31

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Solution

The fourth proportional to 32,763.42, 45,167.72 and 27,707.31 is: 38,197.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,763.42 : 45,167.72 = 27,707.31 : x
  2. Step 2: Convert to fraction form
    32,763.42/45,167.72 = 27,707.31/x
  3. Step 3: Cross multiply
    32,763.42x = 45,167.72 × 27,707.31
  4. Step 4: Simplify right side
    32,763.42x = 1,251,475,881.50
  5. Step 5: Solve for x
    x = 1,251,475,881.50/32,763.42
  6. Step 6: Final answer
    x = 38,197.35

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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.