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Finding the Fourth Proportional to 83,405.63, 124,794.54 and 58,494.30

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Solution

The fourth proportional to 83,405.63, 124,794.54 and 58,494.30 is: 87,521.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,405.63 : 124,794.54 = 58,494.30 : x
  2. Step 2: Convert to fraction form
    83,405.63/124,794.54 = 58,494.30/x
  3. Step 3: Cross multiply
    83,405.63x = 124,794.54 × 58,494.30
  4. Step 4: Simplify right side
    83,405.63x = 7,299,769,261.12
  5. Step 5: Solve for x
    x = 7,299,769,261.12/83,405.63
  6. Step 6: Final answer
    x = 87,521.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.