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Finding the Fourth Proportional to 45,796.47, 63,220.77 and 30,699

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Solution

The fourth proportional to 45,796.47, 63,220.77 and 30,699 is: 42,379.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,796.47 : 63,220.77 = 30,699 : x
  2. Step 2: Convert to fraction form
    45,796.47/63,220.77 = 30,699/x
  3. Step 3: Cross multiply
    45,796.47x = 63,220.77 × 30,699
  4. Step 4: Simplify right side
    45,796.47x = 1,940,814,418.23
  5. Step 5: Solve for x
    x = 1,940,814,418.23/45,796.47
  6. Step 6: Final answer
    x = 42,379.13

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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.