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Finding the Fourth Proportional to 42,274.80, 63,416.52 and 14,566.32

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Solution

The fourth proportional to 42,274.80, 63,416.52 and 14,566.32 is: 21,850.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,274.80 : 63,416.52 = 14,566.32 : x
  2. Step 2: Convert to fraction form
    42,274.80/63,416.52 = 14,566.32/x
  3. Step 3: Cross multiply
    42,274.80x = 63,416.52 × 14,566.32
  4. Step 4: Simplify right side
    42,274.80x = 923,745,323.61
  5. Step 5: Solve for x
    x = 923,745,323.61/42,274.80
  6. Step 6: Final answer
    x = 21,850.97

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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.