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Finding the Fourth Proportional to 42,544, 63,845.16 and 14,842

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Solution

The fourth proportional to 42,544, 63,845.16 and 14,842 is: 22,273.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,544 : 63,845.16 = 14,842 : x
  2. Step 2: Convert to fraction form
    42,544/63,845.16 = 14,842/x
  3. Step 3: Cross multiply
    42,544x = 63,845.16 × 14,842
  4. Step 4: Simplify right side
    42,544x = 947,589,864.72
  5. Step 5: Solve for x
    x = 947,589,864.72/42,544
  6. Step 6: Final answer
    x = 22,273.17

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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.