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Finding the Fourth Proportional to 59,414.63, 82,029.47 and 38,230.70

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Solution

The fourth proportional to 59,414.63, 82,029.47 and 38,230.70 is: 52,782.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,414.63 : 82,029.47 = 38,230.70 : x
  2. Step 2: Convert to fraction form
    59,414.63/82,029.47 = 38,230.70/x
  3. Step 3: Cross multiply
    59,414.63x = 82,029.47 × 38,230.70
  4. Step 4: Simplify right side
    59,414.63x = 3,136,043,457.43
  5. Step 5: Solve for x
    x = 3,136,043,457.43/59,414.63
  6. Step 6: Final answer
    x = 52,782.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.