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Finding the Fourth Proportional to 47,782.50, 71,670.92 and 14,502.84

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Solution

The fourth proportional to 47,782.50, 71,670.92 and 14,502.84 is: 21,753.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,782.50 : 71,670.92 = 14,502.84 : x
  2. Step 2: Convert to fraction form
    47,782.50/71,670.92 = 14,502.84/x
  3. Step 3: Cross multiply
    47,782.50x = 71,670.92 × 14,502.84
  4. Step 4: Simplify right side
    47,782.50x = 1,039,431,812.90
  5. Step 5: Solve for x
    x = 1,039,431,812.90/47,782.50
  6. Step 6: Final answer
    x = 21,753.40

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