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Finding the Fourth Proportional to 42,755.67, 64,098.93 and 17,814.49

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Solution

The fourth proportional to 42,755.67, 64,098.93 and 17,814.49 is: 26,707.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,755.67 : 64,098.93 = 17,814.49 : x
  2. Step 2: Convert to fraction form
    42,755.67/64,098.93 = 17,814.49/x
  3. Step 3: Cross multiply
    42,755.67x = 64,098.93 × 17,814.49
  4. Step 4: Simplify right side
    42,755.67x = 1,141,889,747.50
  5. Step 5: Solve for x
    x = 1,141,889,747.50/42,755.67
  6. Step 6: Final answer
    x = 26,707.33

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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.