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Finding the Fourth Proportional to 58,304.60, 80,446.07 and 32,806

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Solution

The fourth proportional to 58,304.60, 80,446.07 and 32,806 is: 45,264.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,304.60 : 80,446.07 = 32,806 : x
  2. Step 2: Convert to fraction form
    58,304.60/80,446.07 = 32,806/x
  3. Step 3: Cross multiply
    58,304.60x = 80,446.07 × 32,806
  4. Step 4: Simplify right side
    58,304.60x = 2,639,113,772.42
  5. Step 5: Solve for x
    x = 2,639,113,772.42/58,304.60
  6. Step 6: Final answer
    x = 45,264.25

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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.