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Finding the Fourth Proportional to 82,818.70, 114,287.30 and 46,024.80

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Solution

The fourth proportional to 82,818.70, 114,287.30 and 46,024.80 is: 63,512.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,818.70 : 114,287.30 = 46,024.80 : x
  2. Step 2: Convert to fraction form
    82,818.70/114,287.30 = 46,024.80/x
  3. Step 3: Cross multiply
    82,818.70x = 114,287.30 × 46,024.80
  4. Step 4: Simplify right side
    82,818.70x = 5,260,050,125.04
  5. Step 5: Solve for x
    x = 5,260,050,125.04/82,818.70
  6. Step 6: Final answer
    x = 63,512.83

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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.