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Finding the Fourth Proportional to 82,781.43, 114,234.98 and 46,970.67

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Solution

The fourth proportional to 82,781.43, 114,234.98 and 46,970.67 is: 64,817.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,781.43 : 114,234.98 = 46,970.67 : x
  2. Step 2: Convert to fraction form
    82,781.43/114,234.98 = 46,970.67/x
  3. Step 3: Cross multiply
    82,781.43x = 114,234.98 × 46,970.67
  4. Step 4: Simplify right side
    82,781.43x = 5,365,693,548.04
  5. Step 5: Solve for x
    x = 5,365,693,548.04/82,781.43
  6. Step 6: Final answer
    x = 64,817.60

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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.